The Hebrew Bible (specifically the Book of Exodus) describes the death of the firstborn in Egypt as the tenth and final plague God inflicted upon the Egyptians. The purpose was to convince Pharaoh to release the Israelites from slavery.
According to the biblical narrative, God struck down the firstborn of the Egyptians, both humans and animals. The Israelites were instructed to mark their homes with the blood of a lamb so that the angel of death would "pass over" them and not harm their firstborn.
Regarding Jesus's involvement, the New Testament portrays Jesus as the Son of God and part of the Holy Trinity (Father, Son, and Holy Spirit). In this context, some Christians believe that Jesus, as part of the Godhead, was involved in all of God's actions throughout history, including the events described in the Old Testament. However, the Bible does not explicitly state that Jesus was the specific agent responsible for the death of the firstborn in Egypt. The text attributes the act to God.
Therefore, the Bible does not explicitly state that Jesus smote all firstborn Egyptians. It was God who smote all the firstborn Egyptians, and it was the homes of the *Israelites* that were passed over.