Interesting question and concept Mats. I'd say with a second Kemper unit that should be pretty straight forward. Just use the tweaked Kemper in the profiling loop of the second one just as any other physcial amp for profiling. Only thing I would really wonder is if the quality of the original profile would suffer from this. At least if you are doing this more often. Could be an interesting test for someone with two units. Profile the same thing over and over again and see what comes out 
Back to your basic question: Within one unit only I can not think of a way right now. But I am not the profiling expert so somebody else might advise better.
I'm no kind of expert either, but there might be something that you could try...
1. While making a profile of an ordinary amp, split the signal coming out of the kemper and record that signal directly. I say "make a profile of an ordinary amp", because otherwise the profiler might stop the process if it doesn't hear anything (can't confirm this, just supposing).
2. Once the profiling process has finished, take your recording of the 'ufo' profiling sounds and feed it into the kemper, recording the results (in mono I'd guess).
3. Finally, start the profiling process again, but this time play the results of the recording made in step 2 and feed it back to the kemper, as you would a signal from a mic or an amp's line out.
I'd guess that success would depend on how accurate you'd have to be with the timing of starting playback in step 3. Also, I think I remember reading something about problems profiling amps when noise gates were enabled (but not 100% sure) so you might need to disable kemper's noise gate when attempting.
Anyway, I've never tried this, so you could be doing a world-first here. Best of luck!
This has been discussed. Not currently possible but would be great.
RockmanCentralBob it should work fine if you have two Kempers. You can profile plug-in amp sims, Ax-FX, Helix etc so two Kemper’s shouldn’t be any different. However, I can’t see the scenario outlined above with recording signals then reamping through a single Kemper working.
I realise that Mats I was referring to Jac’s subsequent post.
I realise that Mats I was referring to Jac’s subsequent post.
Then all is good. 
Cheers,
Mats N
