I want to be able to start a tmux session on a remote server, and then use iTerm2's native windows and split screens on my local machine.

For example, let's say my remote server has a tmux session running with one window that has two panes. In iTerm2 on my local machine, I want two native iTerm2 panes such that each pane contains a different tmux pane.

Is this possible?

(I know the reverse is possible — whereby I can run a tmux session on my local machine and another machine will see my iTerm2 tabs as windows for instance. But this seems kind of useless.)