The basic answer to your question is no. If you have recorded something a little hot say as long as it is not too clipped, reducing that level say be subtracting some db off the signal will not change the quality of the signal. It will only pull it back to where you want it to be.
Same as raising a signal by a certain number of db to bring it up to where you want it to be, no real change in sound quality either. Remember we are in digital now so if a signal is averaging say around -30 dB rms FS and you add 16 db to that signal, all you are doing is changing the values of the digital signal level wise that is.
There are certainly much more important things you have to worry about than this. eg compositional quailty, performance quality, choice of microphone, placement, the sound of the room etc.. These will all effect things in much greater way than adding/subtracting a few db here or there. You are currently sweating over something that actually does not require it.
If you are clever you will never have to worry about tracking at the right levels again. Simply choose a reference level that represents 0 dB VU on a VST (or real) VU meter. While tracking simply adjust the input gain so the rms (VU) meter just hits 0 dB VU and you are done. All your tracks will be at the same rms level ready to mix. And no gain will ever need to be added or subtracted again.
When people talk about how loud an input signal should be they forget there are two components to that signal. The peak value and the rms value. I prefer to aim for consistent rms levels coming in and let the peaks take care of themselves.