Is it possible

The first week of October I was very nauseous, couldn’t really drink alcohol without getting incredibly sick and my boobs were really sore and sensitive. I was pregnant but unfortunately it was a chemical. Is it possible to have a chemical October 13 and then get pregnant again sometime in November?? Idk if it’s just my mind but I’ve been feeling how I felt the first time around. Except I have been super nauseous and extremely tired for the last couple days.