Doubt it. Tiny arcade is arduino operated, so a c/c++ language.
construct is html5 based.
The most I think you could do is remote control a html5 game where the arduino connects to a server to send controller commands and stuff.
I dont follow arduino much though. Try searching around if you can run html5 on an arduino or play html5 games or something.
long story short, you probably have to do a lot of code yourself for the arduino to make it happen.