Protected sex, period the next day, now missed period?

So I don't mean to be asking one of those silly pregnancy questions, I'm not asking if I'm actually pregnant myself, but I don't know the answer to this.

I had protected sex (condom) with my boyfriend about a month ago, and he didn't finish inside me or anywhere near my vagina. I got my period the next day as scheduled. Now, it's a month later, and my period is 5 days late (25 day cycle when I normally run consistently on a 20 without fail).

Is it possible to get your period and still be pregnant? So like get your period, miss the next month and have it turn out that you are?