There you go. Great example. Aren’t those chords (arpeggiated) similar to a Bach piece? If not Bach, some famous Classical composer? Chopin? I can almost hear the piece.
Yes. As well, the Beatles’ Because.
There are quite a few “turnaround” sequences that have been the basis of familiar popular tunes. The progression I-vi-ii-V (C-Am-Dm-G for example) is found in “Heart and Soul” that many kids learn as a piano piece/duet early on. “Blue Moon” is similar. Even “Free as a Bird” is along similar lines as well as hundreds of others.
And, of course, “Every Breath You Take”.
Assuming you mean the first chord, they are in different keys, but they are arpeggiated in the same manner: 1(bass)-5-1-3-1-5, up to the 3, and back down to the 1. The only difference is the key: Hallelujah is in C, while Presley’s song is in D.
In other words, the notes are different, but the pattern is the same.
And just in case you are wondering, it’s not merely a broken chord because the bass note doesn’t have to follow the pattern exactly. Skipping the 3 is quite common at the lower end.