Sort of; so did Egypt - but these were more steam devices not engines per se. I think the limiting factor was metallurgy & pressure vessel design before you can do something like Watt did.

Do you have references? I'd be interested to learn about the subject. Quick search gave me [0] for Egypt and [1] for China, and both answers seem to be "not really".

[0] https://hsm.stackexchange.com/questions/1991/was-the-steam-e...

[1] https://history.stackexchange.com/questions/2012/did-the-chi...