Can I do this program with kettlebells instead of dumbbells?

Yes and no.

While you can use kettlebells as a substitute for many of the movements, there are times when the kettlebell will not be an intuitive option for the exercise (e.g. lateral raises).

Additionally, there are times when you will need 2 dumbbells, so if you are using kettlebells, you may need 2 that are the same size. However, kettlebells may give you additional weight options to supplement the dumbbells.