In my experience, it's doubtful. If your set on keeping an anthias your best bet is to get the angel out for awhile...long enough so it doesn't consider the tank it's territory any more. You'll probably need a trap to get either fish out...and it's unlikely the anthias would go into the trap considering it is probably to terrified to eat.

You could try placing a mirror in or against the tank to give the angel something else to focus on at least as a stop gap measure, it could buy you some time if the angel takes an interest in it.

Wished I had better news. Perhaps someone has come up with another idea.