Can a split end (or any other non-lineman) come from the LOS and receive a hand-off (i.e. - a reverse)?

Of course. It happens all the time.

Bob

Do you mean?
 

The thing to watch would be that there are 7 on the LOS at the snap. If the split end is in motion before the snap you would have a good chance of having an illegal formation.
But if the end is on the line at the snap, he can go in any direction to get the ball.

The split end may go in motion as long as there are still 7 players on the line at the snap.

Bob

I'm pretty sure I read this in the NHFS rule book:

If a SE, or other player, who is last set on the LOS before
he goes in motion, his motion must take him at least 5
yards behind the LOS at the snap.

This is probably useful since it makes determining who is
on the line at the snap a little easier for the HL & LJ.

But, is the TE that he was covering eligible? I'd guess
"yes".

any player on the field is eligible to take a handoff-- i have seen games where the QB hands to a runningback or then hands the ball off to a pulling quard who is running the opposite direction behind him at the line of scrimmage. 8 man games can be creative