Does Cable have a son or daughter? And if yes then who is he or she?
No confirmed biological children
He did however adopt and is the guardian of the Omega level mutant Hope Summers (birthname Spalding), the first mutant born after events in The House of M.
Cyclops gives the girl to Cable, as he thinks she will be safer with him. Cable takes her into the future, following numerous jumps into the future to avoid Bishop who wants to kill the girl. Cable’s wife Hope is killed, and Cable names baby Hope after his dead wife.