Not so fast

[Bigotacon]

If I wound a unit with Not so fast on their turn. I heard their turns immediately.

Would the unit opponent still be able to do things like Luninara or Mother Talzin instead abilities?

[Negoldar]

11 hours ago, Bigotacon said:

If I wound a unit with Not so fast on their turn. I heard their turns immediately.

Would the unit opponent still be able to do things like Luninara or Mother Talzin instead abilities?

The turn does not end. The activation ends. The turn moves on to complete normally. See the timing chart in Appendix A. 

If you mean the Identity abilities on those characters, yes, they would still resolve according to their timing.