In a city filled with stars, Paul's star has been shining bright enough for that question to be asked.
But in the eyes of Byron Scott, who has a unique perspective because he grew up in Southern California, played for the Lakers and played with Bryant, and coached Paul, it would be a tall order for Paul to steal Bryant's star power in L.A.
"No, this is still going to be a Lakers' town. Period. Chris Paul or no Chris Paul," Scott said, laughing. "Now what it's going to do for the Clippers and Chris Paul is if they win, it's definitely going to heighten them as far as promotional things. The Clipper fans are going to love Chris Paul like they do now even more if the Clippers win a championship. They love that kid to death and they should."
As for Paul, the six-time All-Star has a simple goal.
He doesn't just want to be better than the Lakers or Bryant. Paul yearns for the Clippers to be the best team in the NBA at the end of the 2013-14 season.
"I don't worry about whose town it is," Paul said. "And I don't think this ever will be a Clipper town. It's too much history with the Lakers and you don't want to take that away."
Paul, 28, knows the Lakers have won 16 NBA championships, 11 in L.A. He knows the Clippers have never won a title or been to an NBA Finals, and the franchise has only one Pacific Division championship, last season.
"You always have to appreciate history. But I don't have anything to do with what used to be," Paul said. "That wasn't in my time. So all I can control is my time period. If they are still talking about what Wilt did and what Magic did and what Jerry did and what this guy did, then so be it. Like I said, there is always history. I just worry about now and what I can do for the Clippers."
Scott likes this Clippers team and believes they have the talent to reach the Western Conference finals.
It's just that he has lived through too much in this city to see it turned over to Paul and the Clippers just yet.
Scott attended Morningside High in Inglewood. He won three NBA championships as a player with the Lakers, and played with Bryant during his rookie season in 1996-97. Scott coached Paul in his first four seasons in the NBA when both were with New Orleans.
"When the Clippers win about 15 or 16 championships, maybe the city will go from purple and gold to red, white and blue," said Scott, who interviewed for the Clippers' head coaching job that went to Doc Rivers. "But L.A. is going to always be a Laker town. Always. Now if the Clippers win, all it's going to do is make the rivalry that much better in the next few years."
It's not as if Paul isn't already widely recognized as one of the NBA's elite players.
Paul has made the All-NBA team five times, including the last two seasons while playing with the Clippers. He has made the NBA's all-defensive team five times.And he has become an international star by winning a gold medal with the U.S. in the 2008 and 2012 Olympics.
Since joining the Clippers via trade from New Orleans in 2011, Paul has played a major role in helping to change the culture of the franchise.
"Chris is in the Jason Kidd category as far as seeing the game before it happens," Portland Coach Terry Stotts said. "At both ends of the floor, he's able to anticipate what's going to happen. He's one of those guys that makes their team better, players better and guys like playing with him."
When NBA.com this month released its annual general managers' survey, Paul stood tall among the front-office types.
Paul was voted the NBA's best point guard with 70% of the votes, as well as the league's best passer (47.7%) and best leader (33.3%).