You can certainly apply/wash enamels directly over Tamiya acrylics.
I have, in the past applied clean Mineral Turpentine, White (Mineral) Spirits and Naptha (in the form of Zippo fluid) directly to cured Tamiya Acrylics to test and observed no ill effects.
Can't speak for other brands, but Tamiya's acrylics are pretty much bulletproof after curing. (unless you hit them with alcohol or lacquer thinner)
Having said that, as always, if you are in any doubt, test on an expendable subject before doing it on a live build.