Although it's a little tricky to say what "bigger" means in this context, the answer is, in most senses, no.

A supernova puts out about ten to a hundred times as much energy in the form of light, and hundred or more times as much matter is ejected. (A core-collapse supernova undoubtedly puts out much more energy in the form of neutrinos as well.) What matter *is* ejected by a kilonova *does* go out faster (30-60,000 km/s, versus about 10,000 km/s for supernova ejecta).

On the other hand, a kilonova puts out much more energy in the form of gravitational waves, so they're bigger in that sense.