There are both electric acoustic and solid body electric harps. What you are describing is a solid body electric harp. No resonating chamber, and individual crystal pickups on each string.
There are several makers who make them. For the main makers they are all good. It’s a matter of which you prefer personally.
Lyon & Healy, Camac, and Kortier are the ones I am most familiar with. Mine is a Camac.
Distortion pedals work well with them, as do most electric guitar effects. However the harp can play more notes at once over a far greater range, and electric harps sustain a lot longer than guitars. It is easy to overdo effects. With electric harps a little can go a long way. They require a bit more restraint, and a very good dampening technique, than when playing electric guitar.