Why am I spotting a week after my period has ended. This is my second month experiencing this. Could I be pregnant? I am trying to conceive

Possibly pregnant. You could be pregnant. Please ask your doctor to do a blood pregnancy test (quantitative beta hcg) asap. Many women with normal pregnancies can have spotting, but sometimes spotting can indicate problem pregnancies such as an ectopic pregnancy or miscarriage.
Need pregnancy test. If you are trying to conceive and have abnormal bleeding, it could be an abnormal pregnancy like a miscarriage or tubal pregnancy. A tubal pregnancy can be dangerous, so be sure to rule it out. Some women have spotting during the first trimester and have a healthy pregnancy. It could also be bleeding with ovulation. Any abnormal bleeding should be checked by your doctor.