Talk to the SMs involved. I know in my district it wouldn't be allowed because it's considered 'poaching' in essence. It's not fair to the new store that you actually belong to if another store 'poached' employees from them while they worked. Transfers are usually only available after a 6 month period too so I think you'll have to hope they'd be willing to. I highly doubt it though.

Same Thing with one of my shifts but she decided to leave to her current store

Edit u can definitely try