If you are 16 and pregnant and living with the father who is 24 in Minnesota can he go to jail?

Maybe. Depends on where they live. In CA he is considered an adult male and she is a minor, so yes he could be charged with rape of a minor. In other states the age of consent is 16 so the answer is no. One or two states have the age of consent as 21 so the answer would be yes for those states.