From
wiki
"The
Industrial Revolution was the transition to new manufacturing processes that occurred in the period from about 1760 to some time between 1820 and 1840. This transition included going from hand production methods to machines, new chemical manufacturing and iron production processes, improved efficiency of
water power, the increasing use of steam power and development of
machine tools. The transition also included the change from wood and other bio-fuels to coal."
Ok so to become an industrial power you needed:
1) Raw materials (coal, iron, limestone) - these had to be easy to find and preferably close together.
2) An educated population - more likely to have people who could see the implications of an advance in technology
3) Demand for the products - this normally means a large middle class, those who have disposible income, but can't afford expensive hand-made stuff.
4) Lots of meanial workers - people to staff the factories etc. for low wages and horrible work conditions.
These all came together in England in the late eighteenth century.
I can't see the ancient greeks having the population or education (they lacked the developments in physics / chemistry needed). Likewise the Romans lacked the education and advances.
I don't know about China or India, but with their huge populations it was easier to just pay people to work by hand.
Most empires of old had a very small upper class and a large number of lower class, so just lacked the demand for an industrial revolution even if we gave them the skills / materials.