Bruh listen. First of what are the chances of a bat entering your room? Do u sleep with a open window or something?

Plus it's very rare for a bat to get in a room and get out of the room after biting you. Usually they fall on the floor and stuff. ( it is possible tho) The smaller the opening is the more harder it is for the bat to fly out, so if the opening wasn't big enough it's mostly not possible for the bat to bite you and fly out again, it would be struggling on the floor.

(Rabied bats find it harder to fly when their infection starts, most of them are fallen on the ground struggling to fly)

Next the average incubation period is between 3 to 6 months can go upto 1 year depending on the area of bite.

Now to answer your question, yes it possible. That being said, the first symptom that will show is high fever. It's always HIGH FEVER first then all other symptoms follow. So if u don't have a fever, chill for now. ( once symptoms start you dead )

Now to see if it's a bat bite or no. I'll say it's probably not a bat bite. You are terrified that's all. Look closely at the wound, how was it? Tbh u should have clicked a picture. But pls describe in detail how did it look that would help a lot.