tgorzka Yes and No. From what I read, your boot partition should be about 1GB and your update should erase old kernel (it will leave only 2 lts and 2 current).
BUT people with lower size partition will sometime have to delete them manually. I have dualboot with windows (for a few games and apps that don't run in Linux at all) and it seems they both share the boot partition (260MB) so I have to delete them manually from time to time (every 2 or 3 kernel updates) in order to be able to update kernel.
I don't want to get thru the hassle of reformatting both windows and linux in order to solve the issue. I read a lot of trouble that people have if they resize the partition, so I won't do that either.