Yes, you can rebind the keys for Radial Menu and Server Info / Player List in the Keyboard options.
P.S. Many laptops also have setting to change the default behavior of the function keys.
I have already remapped the Player List to the "grave" key and asking/looking around it seems to be F1+G to hide the HUD. This combination either brought up the weapons menu (or message to say it wasn't available) OR the Windows Help page! Making me think that there was some incompatibly with the key combination.
As I don't use the Windows Help page I have found a way to disable this.
I can confirm using other methods that the F1 key works in other programs.
The "fn" key works with the other function keys allowing me for example to mute my sound (F6 without the fn key) or take a screenshot without the GUI (F6 with the fn key) also proving that the HUD wasn't somehow fixed.
I temporarily changed the weapons menu key to something else just in case it was this that was the issue too!
So, is there any other way of remapping the key combination to hide the HUD or is this seriously hard coded? I'd report this as a bug but it seems specific to my laptop so could be hard to replicate. Maybe just a request to make this changeable if it is not already (though I cannot find F1 listed in the keyboard.cfg file for it to be in there) in an interim patch.