False positive, chemical pregnancy?

Hello glowies, can someone kindly let me know if a false positive on a HPT is a real thing, can you get a false positive? I had several (faint) positive HPTs a few months back and the doctor at the hospital told me it was a false positive. I believed it was a chemical pregnancy, the reason why I'm asking is because I am terrified that I can't have children, it's a horrible thought that I can't seem to get out my head. I would feel better knowing that I can get pg and that it was a chemical. Thanks for your help :)