The man named Jesus who was the son of a man named Joseph who was the son of a man named Heli probably did exists at the time, just as the other man named Jesus who was the son of a a man named Joseph who was the son of a man named Jacob might have existed, but they are obviously two different men because their fathers' fathers are not the same person.
And according to Matthew, Jesus was born during the reign of Herod the Great (Matthew 2:1). According to Luke, Jesus was born during the first census in Israel, while Quirinius was governor of Syria (Luke 2:2). It is impossibel for those two Jesuses to be the same because Herod died in March of 4 BC and the census took place in 6 and 7 AD, about 10 years after Herod's death.
So Luke wrote about one person called Jesus, Matthew wrote about another, and when we examine the additional contradictions in Mark and John it is obvious they wrote about a third and fourth men named Jesus.
Yes, it is possible all four Jesus existed. But none rose from the dead, walk on water, or turned a basket of loafs and fish into a buffet for 5,000 people. And the zombies didn't rise from the dead and walk into town to be seen by many people when any of the four died.
Like the myth of Jason and the Argonauts, using the names of actual people and places in a myth doesn't make thy myth true.
Or like George Washington who never chopped down his father's cherry tree. It was a myth created a year after he died by Parson Weems who not surprisingly was a preacher who. like most preachers, have a penchant for making up fantasitc stories.