How hard is it to get in to Penn State applying late

I applied to Penn State on the 23 of December into the school of engineering and was wondering if there is a decent chance to get in. I know Penn State is rolling admissions so I would assume it would be really tough or even impossible. P.S. they haven’t recieved my transcript yet due to some problems with shipping from overseas (international student).
I would appreciate if anyone could help answer.

Will probably be difficult. Nobody can really tell more specifically than that, though.

Do they normally save a few spots for people applying at the end though?

I don’t think they save spots for students who apply late. I think rolling admissions means they consider apps until the seats are filled.

Your application had to be complete by February First in order to be considered.
Your odds are really low because they’ll only consider you if there’s space, and there won’t be any in college of engineering. Change your major to dus and keep your fingers crossed.