Kimber 4TC Bi-Wire Question

In agreement with Nick and Jbaxley: IF the system is designed for bi-wiring.

I currently have shotgunned 4TC and have had stotgunned 8TC/4TC (8TC for the lows, 4TC for the highs). The 8TC/4TC was overblown in the bass and overall not as refined and neutral as the 4TC. Above all, I would not use 8TC for the mids and highs, as you are intending. As others have said, if the speakers are made to be bi-wired, go with 4TC/4TC, either shotgunned or two discrete cables. I love this setup. In my system, I do not find it wanting in any regard.

Assuming you have both set hooked up to the amp/integrated and your speakers have 4 connections (pair for high and low) the answer is yes in theory. 
 

If you are exploring alternatives consider buying a set of TC and VC cables. The monocles and bifocals are advertised to have both cables combined. I own bifocals and initially tried 12 TCs and they were night and day.