Can we add a fan speed regulator to an exhaust fan?

I have purchased the following exhaust fan.

https://havells.com/ventilair-ds-hs-reve...

It has no speed control (just ON / OFF). It uses an induction motor and runs on single phase AC / 50Hz at 65W (Fan Duty Capacitor Start & Run motor). It has reversible functionality (meaning it has a switch which can be used to switch directions while in operation).

It rotates at 2300 RPM with a sweep size of 230 mm. The high speed produces too much noise. I'd like to reduce the noise. I was thinking of adding a 100W ceiling fan regulator to control the fan speed / noise.

Are there are restrictions / limitations on doing this?

Thanks!