Can a pelvic exam cause a UTI?

Been experiencing the frequent need to pee only 3 days after a pelvic exam. A speculum & lube was used to check for any signs of yeast.

And the day after my exam I feel like I need to pee all day.

I’m only experiencing the need to pee, no burning, blood etc.

I’ve never had a UTI before so I’m unsure if that’s what it is ?