Could I have Lyme disease?

Yes. But you haven't listed any symptoms, so it's hard to give opinion. Lyme disease symptoms are similar to many others, and can be tested for by your doctor.
Not just Lyme. Avoid being "lyme-centric"! depending on geography, there are several other tick borne diseases (e.g. Anaplasmosis, babesia, human monocytic or granulocytic erlichiosis) that co-infects with lyme (caused by b. Burgdorferi)or else, the diagnosis is something other than lyme (eg. Relapsing fever caused by b. Hermsii & southern tick -associated rash illness [stari] caused by a diffferent tick).