Can you sew a doll with a sewing machine?

Yes, Women"s magazines used to make patterns, as they called them, sew and stuff, Very Cute were the Motorcats- Like Dennis the Menace in RR overalls with a railroad style hat, you could sew on a patch, say Penn Central or NYC. -but an anthropomorphic cat! I like that , Motorcats- Merrrrow.
You can also find patterns that allow for a porcelain head and sewn body in craft stores that sell the heads and fabric or fabric stores that sell the patterns and fabric.