Yes.
The Book of Mormon both foretells the coming of a Messiah and testifies that he has come.
The Book of Mormon is Christ-centered and the major significance of the Book of Mormon is its witness of Jesus Christ as the Only Begotten Son of God the Eternal Father, who redeems and saves us from death and sin. Equally important is its explanation of the Savior’s atonement, which is the most fundamental doctrine of our faith.
Here are just a few of many available examples of scriptures from the Book of Mormon that so testify of Christ:
“For behold … salvation was, and is, and is to come, in and through the atoning blood of Christ” (Mosiah 3:17-18).
“Neither did they receive any unto baptism save they came forth with a broken heart and a contrite spirit, and … took upon them the name of Christ, having a determination to serve him to the end” (Moro. 6:2-3).
“And again, if ye by the grace of God are perfect in Christ, and deny not his power, then are ye sanctified in Christ by the grace of God, through the shedding of the blood of Christ, which is in the covenant of the Father unto the remission of your sins, that ye become holy, without spot” (Moro. 10:32-33).
"…rejoice in Christ, we preach of Christ … that our children may know to what source they may look for a remission of their sins” (2 Ne. 25:26).
“there is no flesh that can dwell in the presence of God, save it be through the merits, and mercy, and grace of the Holy Messiah” (2 Ne. 2:8).
“Wherefore, redemption cometh in and through the Holy Messiah; … he offereth himself a sacrifice for sin, to answer the ends of the law” (2 Ne. 2:6-7).
“There can be nothing which is short of an infinite atonement which will suffice for the sins of the world” (Alma 34:12; see also 2 Ne. 9:7; Alma 34:8-16)
“Did not Moses prophesy … concerning the coming of the Messiah, and that God should redeem his people? Yea, and even all the prophets who have prophesied ever since the world began—have they not spoken more or less concerning these things?” (Mosiah 13:33.)
These verses say He is the Creator, Jehovah and would take a mortal body in order to redeem mankind:
Ether 3:6-16; 1 Ne. 19:7-12; 2 Ne. 9:5; Mosiah 3:5; Mosiah 7:27; Mosiah 13:34; Mosiah 15:1; Mosiah 19:13;
These verses say He would be the Son of God, the Only Begotten of the Father in the flesh, the God of Israel:
1 Ne. 11:20-21; 1 Ne. 22:12; 2 Ne. 25:12; Jacob 4:5; Mosiah 15:2-5; Alma 5:48; Alma 7:10; Alma 9:26;
These verses say His mother would be a virgin, a descendant of Jacob through King David; she would be from Nazareth, and her name would be Mary:
1 Ne. 11:13-21; Mosiah 3:8; Alma 7:10
This verse says signs would attend his birth:
Hel. 14:3-7
These verses say His name would be Jesus Christ:
Ether 3:14-16; 2 Ne. 10:3; 2 Ne. 25:19; 2 Ne. 31:10; Jacob 4:11; Mosiah 3:8, 17; Mosiah 7:27; Alma 5:48
These verses say Jesus would be born in the meridian of time; 600 years after Lehi left Jerusalem and 5 years after Samuel’s prophecy:
1 Ne. 10:4; 1 Ne. 19:8; 2 Ne. 25:19; Hel. 14:2
These verses say Christ would be born among the Jews near Jerusalem at a place called Bethlehem:
2 Ne. 10:3; Alma 7:10
This verse says a messenger prophet would prepare the way for Messiah’s mission:
1 Ne. 10:7-9
This verse says He would be a child in Nazareth:
1 Ne. 11:13, 20
These verses say He would be baptized by the messenger-prophet beyond Jordan near Bethabara; the prophet would testify of him, and the Holy Ghost would descend on him as a dove:
1 Ne. 10:9-10; 1 Ne. 11:27; 2 Ne. 31:4-8
These verses say He would suffer temptations, hunger, thirst:
Mosiah 3:7; Mosiah 15:5; Alma 7:11
He would call twelve Apostles in the Old World and twelve disciples in the New World:
1 Ne. 11:29, 34; 1 Ne. 12:8-10
He would minister in power and glory, performing miracles:
1 Ne. 11:28, 31; 2 Ne. 10:4; Mosiah 3:5-6; Mosiah 15:6; Alma 5:50
He would be a stumbling block to his people, who would reject him:
1 Ne. 19:13; 2 Ne. 10:3-5; 2 Ne. 25:12; Jacob 4:15
Christ would yield himself to suffer:
1 Ne. 19:9-10; Mosiah 15:5-6
He would suffer to atone for our sins and help our sicknesses; blood would come from every pore:
2 Ne. 9:21-22; Mosiah 3:7; Alma 7:11-13; Alma 21:9; Alma 34:8-9
He would be judged and placed in prison:
1 Ne. 11:32
Christ would die voluntarily:
1 Ne. 19:9-10; 2 Ne. 2:6-7; Mosiah 15:5, 7
He would be crucified for and by his people
1 Ne. 10:11; 1 Ne. 11:32-33; 1 Ne. 19:10; 2 Ne. 6:9; 2 Ne. 10:3-5; 2 Ne. 25:13
He would be buried in a sepulchre:
1 Ne. 19:10; 2 Ne. 25:13
Signs would attend his death:
1 Ne. 12:4-6; 1 Ne. 19:10-13; Hel. 14:20-28
Jesus would rise from death after three days and show himself to witnesses:
1 Ne. 10:11; 2 Ne. 25:13-14; 2 Ne. 26:1; Mosiah 3:10
Others would be resurrected because he overcame death:
2 Ne. 2:8; 2 Ne. 9:4-13; Mosiah 13:33-35; Mosiah 15:20-24; Mosiah 16:7-11; Alma 11:42-45; Alma 33:22; Alma 40:2-23; Hel. 14:25
Christ’s atonement would be infinite:
2 Ne. 9:7; 2 Ne. 25:16; Alma 34:8-14
His sacrifice would satisfy the laws of justice and mercy:
2 Ne. 9:25-26; 2 Ne. 25:16; Mosiah 15:8-9, 26-27; Alma 34:14-18; Alma 42:13-30
His atonement would redeem all mankind from physical death, brought by Adam’s fall:
2 Ne. 2:8-9; 2 Ne. 9:4-15; Mosiah 15:7-9, 20-27; Alma 11:39-45; Alma 12:21-25; Alma 40:23; Alma 41:2-15
His atonement would make available the forgiveness of sins for all who have faith in him, repent, are baptized, receive the Holy Ghost, and endure; they thus become his sons and daughters and receive joy and eternal life:
Isa. 1:16-18; 1 Ne. 10:4-6; 2 Ne. 2:3-29; 2 Ne. 9:10-42; 2 Ne. 31:10-21; Mosiah 3:11-19; Mosiah 4:5-30; Mosiah 5:6-15; Mosiah 15:10-19; Alma 5:6-62; Alma 11:36-43; Alma 12:12-37; Alma 22:14; Alma 34:2-41; Alma 42:2-28
Christ would visit a branch of Joseph’s descendants:
1 Ne. 12:1, 6; 2 Ne. 26:1
Look up the references here in the Book of Mormon and read them for yourself if you like.