Could I be pregnant?

My period came a week late, lasted for another whole week, and now it's been 4 days after my period has ended and I'm so sick & I have pink discharge. Nothing listed above has ever happened to me before. Everything listed above is abnormal for me. Could I be pregnant? Like is there a possibility? I know you can't have a period & be pregnant but has anyone had any similar situations? I'm not on any bc btw. Never have been.