Probably not what you are looking for but technically yes:
District of Columbia Law 23- 582(b) reads as follows:
(b) A private person may arrest another -
(1) who he has probable cause to believe is committing in his presence -
(A) a felony, or
(B) an offense enumerated in section 23-581 (a)(2); or
(2) in aid of a law enforcement officer or special policeman, or other person authorized by law to make an arrest.
(c) Any person making an arrest pursuant to this section shall deliver the person arrested to a law enforcement officer without unreasonable delay. (July 29, 1970, 84 Stat. 630, Pub. L. 91-358, Title II, § 210(a); 1973 Ed., § 23-582; Apr. 30, 1988, D.C. Law 7-104, § 7(e), 35 DCR 147.)
That said the Attorney General is the chief law enforcement officer for the federal government (for federal laws) and one in each state (for that state's laws). When I see that it means to me they are the top dog when it come to law enforcement
and would be the highest ranked official who can arrest someone although in practice I think they tell someone else (local police or sheriff or FBI or whoever) to go do it.
The President, given his powers, probably could exert strong pressure on various law enforcement to have someone arrested (certainly more ability than the Average Joe would) but I doubt he must be obeyed. If the officers directed by the President to go arrest someone thought there was no grounds for it I suspect they could refuse.