I haven't been on my period but I am having sex all the time I just want to know is it possible for me to get pregnant?

You can get pregnant any time you have sex. Unless you've been medically verified to NOT be ovulating or are sterile... you have to assume you can.

Sometimes people with no problems can take years to conceive.

(edited as I initially misread about the period)

Any time there is penile insertion there is the risk of pregnancy. Without knowing why you are not getting your period its hard to advise. If you aren't getting your period you should see a physician.

Let's see "sex all the time" Hmmm. YEP!

You ovulate before you menstruate. So you can go years without a period, and get pregnant. There are many women that get pregnant soon after having a baby, thinking that breast feeding and the lack of a period, means they can't conceive. They can.

There is no form of birth control that's 100% effective. Unless you've had a complete hysterectomy, you can get pregnant.

I didn't have a period for 2 years and my daughter is now 19. So the answer to your question is YES.