No, Jesus didn’t physically baptise anyone himself. John 4:1-2 explains:
…Jesus was making and baptizing more disciples than John (although Jesus himself did not baptize, but only his disciples)
Jesus’ disciples, under his authority, were baptising people on his behalf.1
1. Perhaps it’s a bit like in the Old Testament when the Tabernacles was erected: Ex. 40 says that ‘Moses erected the tabernacle’ (e.g., Ex. 40:18), but, in actuality, it would have physically been done by a group of people. Like the disciples baptising people under Jesus’ direction, Moses would have been supervising the erection of the Tabernacle and, therefore, the narrative describes Moses as erecting it.