I had sex on the weekend, I am unprotected but my boyfriend used a condom and it broke, could I get pregnant when I'm not ovulating because my period fished 3 days before I had sex?

Sure you can.. and desides.. you really DON'T know when you ovulate because its not consistent between women and varies greatly among females. Unless you have been keeping a Basal Temprature chart over at least a month... you really don't know when YOU actually do. And that's not something you would do unless you are actually trying to get pregnant and have been having trouble.

Yes, you could get pregnant. Condoms have a very high failure rate, so you should use another method along with a condom.