Answer:
No, it is not possible
Step-by-step explanation:
Humans use the ABO blood group system where the A and B alleles are dominant over allele O but codominant with one another.
This system is such that;
Type A can only have genotype: iAiA or iAi
Type B can only have genotype: iBiB or iBi
Type AB can only have genotype: iAiB
Type O can only have genotype: ii
According to this question, a woman has blood Type A (iAiA or iAi) and her baby has blood Type AB (iAiB). This means that the father definitely contributed the allele B in order to have a baby with type AB. It also means that, according to the question, IT IS NOT POSSIBLE FOR A "Type A" father to produce that baby (see the punnet square attached).
Note: The father must contain an allele B in his genotype i.e. the father must be either type B (iBiB or iBi) or type AB (iAiB)