This one’s easy: no, Vincent didn’t have any children. The closest that he came to experiencing family life was in The Hague, when former prostitute Sien Hoornik moved in with him, accompanied by her 5-year-old daughter Maria and newborn son Willem:
‘… it’s a strong and powerful emotion that grips a person when one has sat beside the woman one loves with a child in the cradle near her’.
Read the full letter from July 1882.