Historians that I have encountered all say early 1800s for punch cards. For example the Smithsonian: https://www.si.edu/spotlight/punch-cards. Are you confusing those with earlier developments in textiles?

I also doubt your claim about when the industrial revolution started. Historians do differ on when the industrial revolution started. But you normally see figures in second half of the 1700s. For example they might cite James Watts' improvements to the steam engine in 1778.

For early 1700s you might be thinking of the steam engine, which was already in use. But the early steam engines were extremely inefficient. Their only real use case was for pumping water out of coal mines where both coal and water were available. The coal itself was being mined for use in fireplaces to keep people warm in the winter, because the forests had been cut down so there was no wood available.