With 4 hiring events (3 scheduled and one with a tentative weekend) between now and October I’m sure a new store would be happy to take on a transfer, and your current store will be hiring anyway sooo..
But you will need your current store’s blessing to leave. They will have to be in contact with the new store anyway so you might as well get comfortable with that. If anyone at your current store has worked at a store or even support staffed there you’ll want to talk to them and see what they have to say. HR will know who has been to what store as support.
Best of luck with your future Target endeavors!