Can Southern Baptists take communion at home alone?

There is an old man in our neighborhood who is a member of a Southern Baptist congregation, though for various reasons he does not attend the local church. He asked me what I thought about the question, "Might a person read the Scriptures, remembering Jesus and the Cross, and take communion (the wine and the flat bread) alone at home, by one's self?" He reminded me that various wealthy people throughout history had their own chapels, priests and attendants that served the communion supper, "at home alone." Do the Southern Baptists have a position on private home-communion?