Maybe. Since Chromebooks run "Chrome OS" which is based on Linux, it might be possible to get TntMPD running via WINE. But you're going to need an Intel processor. WINE only emulates Windows, not the Intel CPU.
So if you have a Chromebook with an Intel chip, give it a try. And please report back with you find out!
(More info on running TntMPD on Linux via WINE here.)