Hi

I'm 20 years old and I have never gotten a natural period before, however I have chemically induced one with progesterone pills. My last chemically induced period was mid October and I have yet to receive a natural period.

I just got my first boyfriend and we had sex for the first time, without a condom, however he had ejaculated an hour previously, and he did not ejaculate into me. Is it possible to get pregnant?

It depends on whether you are actually ovulating. A period may be induced, but that does not mean ovulation has taken place... merely that your body prepared for it. Has a reason been determined as to why you aren't menstruating on your own? I would check with your doctor about having some testing done for that and to determine if you are ovulating.
If you are, than yes... pregnancy will be a possibility anytime you have sex. Some situations just make it more likley or less likely than others.