No. There is no way for tmux to tell the outside terminal it only wants some mouse events, it is all or nothing.
You can configure what tmux does for different mouse events by changing the key bindings, but there is no way to have the outside terminal handle them instead without turning off the mouse in tmux entirely.
However, most terminals provide a way to bypass the application - in xterm you press Shift when using the mouse, perhaps Kitty has a way too.