Arduino Nano 33 IoT powered by Cr2032 coin cell battery?

Check the average and maximum current draw of your application.

CR2032 cells are recommended for very low power applications that do not draw more than about 15 mA, maximum (in short bursts).

If you do not exceed that, the expected CR2032 battery life in hours is roughly (235 mAh)/(average current draw in mA).