Not really. Growing up on a farm reaplcing barb wire fence, the fencing pliers will chew through barb wire if you have a nice new sharp tool and bit it then twist it back and forth for a while and finally it breaks loose and even then it takes a lot of muscle.
Home grade chain link maybe you could slowly cut your way through a small hole but the heavier gauge stuff used for commerical applications your going to be there all day and have some very sore arms and hands trying to cut through them.

You could probably get through faster with one of those small pocket hack saws and a couple new blades.