Absolutely. Lapping compound, especially in finer grits, is nothing more than a final polish. It won't dimensionally change that chamber. It will, however, smooth tooling marks. It might actually make extraction and chambering easier. No guarantees but it might.
After I 'operated' on the die, I ran a freshly deprimed once fired and tumbled bright cartridge through the die and had serious lines imparted in the brass from my 'operating' on the die. After running the mop/lapping compound in the die bore a minute or two, I tried another cartridge and it resized clean and free of marks.
I'd never recommend it as a regular cleaning regimen but one time, no issue.
Make sure whatever you use, you clean it all out of there. I clean my bores and chambers with non-chlorinated brake cleaner is spray cans. It's haf the price of the gun store stuff and I think the only difference is it don't have a citrus smell.
I got tuned into brake cleaner because I shoot indoor target pistol, mostly tricked Rugers and Rugers are a royal PITA to strip so SOP is to pull the grips and hose 'em down with brake cleaner. I do my Kimbers and Wilsons the same way.