I think that if Tottenham isnt in a good position in the premier league and the champions league that he might leave for sure for Bayern Munich. If the transfer dosent happen in the winter transfer window it will happen for sure in the summer window. Kane would be a great addition to the Bayern Munich team and would win a couple of titles finally.
Bayern munich will try hard to get harry kane in the transfer window next year, no doubt because his slick performance with tottenham makes bayern munich is expected to make a fantastic offer to get kane. Kane has just recorded a sweet streak where his duet with Son has so far managed to score 50 goals in all competitions and that is a very good achievement. with a flashy performance and Tottenham's performance is also very good so far I think harry kane is still very comfortable with tottenham and I hope he can stay at Tottenham for the next season.
I am not sure if Bayern would ever offer a fantastic amount of money for any player. They are known to be cheap and still get players they want, so there is really no reason for them to pay a huge amount of money to get anyone. But if Kane wants to leave, and if Bayern is willing to offer "something", then he could definitely transfer here.
However, Bayern needs to figure out a way to be good in the league as well, they are great at UCL so they should be good in the league. Get to like quarter finals of UCL at least and get the title is the usual way and that should be fine for them, after that they can consider about next year, but they need the league title first.