Pregnant on birth control?

Is it possible to get pregnant on birth control? I take the pill on time every single day. Last week I noticed my period was a few days late so I gave it a little more time and nothing. So i took a test yesterday and it looked like a faint positive. The second line was light but it was definitely there. How is this happening? I can’t have a baby right now nor do I want to have a baby right now. I made a doctors appointment and I’m just extremely nervous/scared. Isn’t the pill supposed to be 98% effective? What!!

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UPDATE: yeah so I’m pregnant and I’m considering all the options but I’m just confused and so stressed. Definitely leaning towards adoption though.