I killed some black swallowtail butterfly caterpillars one year, and I've never forgiven myself, so I had to look up those black and yellow ones of
MoochNNoodles
's. The most likely one that likes tomatoes turns into a moth, but she would have to check it for sure. And yes, caterpillars can be moved.
Caterpillar Types and Identification Guide
Caterpillar Types and Identification Guide