Comment by jcranmer
Technologically, probably not. The first invention of the Industrial Revolution isn't a steam engine, it's the flying shuttle, and the Romans are using far more primitive looms than 18th century Europe is, and I'm not sure their looms could have taken advantage of the flying shuttle.
First, they’d need spinning wheels. Even with the primitive looms the Romans were using, far more labor went into producing the yarn (processing flax, cleaning wool, spinning with hand spindles)