Sorry I can't post the powers. I'm on my phone.

The question is if a character with Hyper sonic speed is adjacent to an enemy,
Successfully makes a break away, can they move zero squares, attack, then move their full movement away? Or do that have to move 1 square then attack?

Thanks

Yes - they can attack and then move given this situation.

Longer explanation: moving 0 squares is a legal move. Nothing says there is a minimum number of squares to move to be counted as Movement.

correct, once you make the breakway roll, you may proceed with HSS from that square as normal. That includes move zero, attack, then move more.