Of course you can get pregnant. No birth control method is 100% effective anyway, except for abstinence, so no matter whether you rely on a pill, a condom, or a spermicide, using these alone can definitely lead to pregnancy. I got pregnant while taking regular birth control, not even the low-dose type you're taking, so my kid is proof that it CAN definitely happen! You seem to be inconsistent with taking the pill, saying you take it "once in a while" so that definitely increases your chances of pregnancy. You also said your boyfriend didn't pull out, and you had been skipping pills, on top of the fact that this birth control pill you're taking is a low dose pill. There's quite a large chance that you MAY be pregnant, as a result. Bleeding daily though is not normal. Why would you just take this as normal and not speak to your ob/gyn?
I highly encourage you to see your ob/gyn. Have him/her test you for pregnancy, and speak to him/her about your bleeding concerns, and the fact you're sexually active. Perhaps there is a better-suited pill for you at this time. When you were prescribed that pill, perhaps you were not sexually active, so the doctor didn't feel you were at risk of pregnancy but now that you are active, perhaps you need something stronger. Asking your partner to use a condom would also not hurt, as others mentioned, because it can protect you from STDs, in addition to helping prevent an unwanted pregnancy, with another form of birth control used in conjunction to it. Speaking of STDs, Chlamydia and Gonorrhea can cause the bleeding you're seeing. Perhaps you don't have these (let's hope not!) but even so, that should be enough of a scare for you to want to encourage your partner to be monogamous and use condoms!