Financing question

So I currently have like five more months on the loan term for my very first car I bought in 2023, due to family circumstances, I have to get a new car. I have about 1,000 left on the loan and plan to pay it off in full in September.

I have the money now but I want to use as much as I can for the down payment of my new car, hence why I’m pushing back the final payment until September. I’m gonna start walking dealerships and looking at new cars but my question is, can the dealership deny me if I have an active loan out on another car? Making the payments isn’t an issue for me and I know I can do it but I’m just wondering if that’s something they can deny me for? My credit is good too so that won’t be a problem.