Why not? What is the point in building a big hammer if you cannot feed it? It is not the resources which holds you back while building the biggest hammer possible. It is your ability to feed it. That is why some teutons prefer axes over clubs. Yes, clubs are stronger when compared (keep in mind: they build faster than axes), but you have to build so much more of them. Same for romans: building EI or EC will simply depend on your ability to feed those EC.
Feeding in TK is trivial..