Welcome to Skullgirls Mobile! For future reference, this kind of question is better suited for the "New Player Guides and FAQs" or "General Discussion" forums, a little further down the front page.
To answer your question: yes! Every character has the following kinds of moves available:
- A Burst, a zero-damage move that debuffs the opponent and knocks them away on hit, and can be used to break out of an opponent's ground combo
- An Outtake, a zero-damage move that forces the opponent to tag out on hit (or bounces them off the wall if they're the last fighter standing on their team) -- the fighter that tags out loses all their non-permanent buffs and debuffs, and a non-Fukua fighter that tags in loses any recoverable portion of their health bar that they hadn't healed yet.
- A Taunt, a zero-damage move that buffs your fighter if it isn't interrupted
- Four or more other Special Moves (round border)
- Two or more "level 1" Blockbusters (square "film strip" border), requiring a relatively small amount of charge to activate
- Two or more "level 2" Blockbusters (square "film strip" border with an extra decoration on each side), requiring twice as much charge as a level 1 Blockbuster, but often do much more damage
- One or more "level 3" Blockbusters (square "film strip" border with lots of extra decoration and skulls in the bottom corners), requiring three times as much charge as a level 1 Blockbuster, but cannot be blocked or dodged and is often a character's highest-damage move.