Will a child be a guaranteed a liver match to his father (for living donor purposes)?

Not necessarily. While liver transplant is sometimes done as a life sustaining procedure with low levels of anti-hla antibodies to the donor, this is a higher risk transplant. The precise circumstances of the donor and recipient need to be carefully evaluated by the team responsible for the transplant.
NO CAN NOT. Any transplantation , can not guarantee match, possibility one of the parent will mach, as first blood group has to match before tissue match, discuss at your regional transplantation center, they will be very helpful , and give you the best advise how to procure organ for the child and good luck.