Having said that, mind you that Chelsea have already signed a younger striker in Christopher Nkunku (who is 25 years old), i am pretty sure he would be a success at Stamford Bridge, and if they can pair him with a 29 year old born goalscorer, they will create an unstoppable team. But the thing is, Kane wouldn't even want to move to Chelsea, and he also wouldn't want to leave the EPL because he is chasing an esteemed record of highest goalscorer of all time, thus the only option left might be Manchester United.
Christopher Nkuku is not a Natural Striker he is a complete winger, you can go do your findings. For a player that scores twenty plus goals every season then scoring fifty more goals to equal Alan Shearer's record is possible. ( Harry Kane can do the job )
Before saying Chelsea need to find a younger striker, it's better for you to check the current Chelsea's squad. Chelsea currently have David Datro Fofana (20 years old), Noni Madueke (21 years old), Armando Broja (21 years old), Mykhaylo Mudryk (22 years old), Joao Felix (23 years old), and Kai Havertz (23 years old). There are 6 young strikers, all of them have poor performance except Havertz.
Chelsea don't really need to find a new striker, but if they want, they should looking for matured player, but I believe Kane will not leave Tottenham because we're know Tottenham management will do anything when their key players want to leave.
David Fofana and Armando Broja are both natural strikers for that role, how well have they been used, it's quite obvious they do not fit into the squad. Kai Havertz is not a striker, go take a second look, he plays behind the striker at Bayern Leverkusen and that has been his best role. Harry Kane should leave Tottenham Hotspur if he isn't dump, he can remain for two seasons and they'll win nothing.