Nothing to stop you from filing. But if Walmart contests you receiving benefits on the basis that you were fired for cause, and the reason for it, the state can deny you. If Walmart does not contest it, and they might not, because so many people come and go from that business, then you may be approved.
If you were let go due to a store closure and there was no transfer available to you that was not an unreasonable distance away, you would not have a problem. The primary collectors of unemployment are those who are laid off. Quitting, never, and being fired, seldom.
If the state approves you quickly, you may receive benefits before the process of the employer contesting the benefits is complete. If Walmart contests and the state overturns paying you benefits, they can demand back from you what was already paid. If you don't pay it back, you can kiss goodbye any state tax refunds you might have coming until the money is pad back.