May a Child Have Four Godparents?

No. Canon law provides that one godparent is sufficient but that there may be two, so long as there is one of each sex (canon 873, Code of Canon Law). There is no provision for more than two godparents.

If the parents wish to honor another couple at the baptism, and that couple are both baptized Christians, they may ask the couple to be Christian witnesses to the baptism together with the Catholic godparents (Directory on Ecumenism 98).