Does a 4 pole 4 way switch exist?

Haven't seen one, no. Would you be satisfied with a 5-way where, say, positions 4 & 5 do the same thing?

 

Slide 4P4T .. eg
https://www.mouser.com/ProductDetail/CK/SS44D04G4?qs=sGAEpiMZZMtHXLepoqNyVWEgRiZqxJaNqxBNWzU98ug=
Rotary 4P4T ... eg
http://rover.ebay.com/rover/1/711-5...0001&campid=5338148343&icep_item=251336408797

 

I've searched for a 4 way super switch and found nada. As mentioned, a rotary switch or make due with a 5 way looks to be the options.

 

This is what I use https://www.axesrus.co.uk/Axesrus-Guitar-Super-Switch-5-way-p/lps-5super.htm

 

Super switches are open, easy to see what's going on inside. Shouldn't be too difficult to make one stop at the fourth position. Probably just bending the metal contact just a bit, or maybe restrict the travel by shortening the slot (cutting your own slot) in the control plate. You could wire the first four positions, and ignore the one that will never be activated. Or as I suggested earlier, make 4 & 5 do the same thing, so worst case it does get switched at some point, at least the guitar still works.

If you do choose a super switch for a Tele, I recommend getting the narrow one from ToneShapers. The other ones ride uncomfortably close to any shielded cavity walls...

http://www.toneshapers.com/switch-5-way-oak-grigsby-4-pole-superswitch-narrow.html