The Bible is not definitive whether or not Jesus ever Baptized anyone.  It is clear that up until John 4:2, He had not baptized anyone.

It is my personal belief; however, that Jesus never baptized.  My reasoning for this belief falls to two primary points:

  1. Jesus always made it clear that He was sent from the Father in Heaven, and the Bible clearly states that He baptized with Spirit (Matt. 3:11).
  2. Jesus regularly dealt with disciples wanting to be greater than one another (Luke 9:46, Mark 9:34, Matt. 10:37, 20:21, etc.).  Paul also dealt with a similar issue in 1 Cor. 1:12-15.

There is no doubt that if Jesus Himself had baptized someone, they would feel (and likely be treated) as though they were more special than others.  It would be credited to them, to have a baptism that no one else can achieve.  This contradicts what we know to be true; that all believers are equal as adopted children of God.

Galatians 3:27–28 (CSB)

27 For those of you who were baptized into Christ have been clothed with Christ. 28 There is no Jew or Greek, slave or free, male and female; since you are all one in Christ Jesus.