Not if the black hole has an electric charge. Then you can suspend it with an electrostatic field, and it can't eat anything. However, small black holes *evaporate* rather quickly... like a quick chemical reaction produces a rather nasty bang and other side effects, so would a constrained black hole evaporation. But if it gets "loose" then it will "eat".
Assuming that’s true then I think I agree with the critics. A small chance of destroying earth vs. more knowledge of theoretical physics. Hmmm. Not a very hard choice in my estimation. These types of experiments, if needed (doubtful) should be done in far space at some point in the future.
Sure, capturing the black hole if it has a charge, is possible, however, I don't think any provisions are being made for capture. And, we don't really know if a black hole produced will have a charge, or at least a charge large enough to capture it.
Once it gets loose, it will grow too massive to be captured, plus I don't even think we would be able to find it. It will be moving around underground -- good luck with an after-the-fact capture.
The problem with "evaporation" is that no one has ever seen it happen. Sure, it is theoretically predicted, but I bet that over 99% of all theories have been proven wrong by experiment.