If you attack with Wall-Crawler
If Spider-Man attacks and is not blocked, you may pay[Fist Fist] to change your opponent's life to 10 (before damage is dealt).
you may still prevent all blockers and use his effect.
Spider-Man would be unblocked before the opportunity to use Global Abilities happens, so you could pay for his ability, have it reduce your opponent's life to 10, and then they would have the option to use Distraction on him or not.
Whether they use Distraction on Spider-Man or not doesn't interact with him using his ability.
-The Dice Masters Rules Team