Somebody I was with told me he has chlamydia —do I need to get tested?

Somebody I was with told me he has chlamydia and that his clinic said I should be tested. I don’t have any symptoms. Do I really need to get tested?
Can HIV be transmitted by fingering?

I know this is probably stupid but, I was fingering someone last Saturday night and I had a hangnail on my finger. Could I have gotten HIV?