Probably not. Accretion disks are temporary, they only exist for a few thousands/millions of years after a capture event. Something has to get really close, and

Probably not. Accretion disks are temporary, they only exist for a few thousands/millions of years after a capture event. Something has to get really close, and the smaller your object is, the more unlikely it is for something to come close enough to be consumed. Plus the rate at which a black hole can consume mass is proportional to mass/radius. If it's too small, it can only consume matter very slowly, which means the accretion disk would be cold and quiet.