Hi 
@SuddenLeee,
I don't believe so but honestly, this hasn't been a scenario I've encountered before. 
To the best of my knowledge, in order to use the shop and purchase the skin, you'd need to be able to load up your game and for that you'd need to log into your account. Depending on the type of ban, you'll likely hit a wall logging into your account or loading up game, etc. 
You can test this though. See if you can open the game and buy something from the shop while your account is locked.
- EA_Lanna