NO!

I can't believe you guys! Never train a sore muscle. If the muscle is still sore, it hasn't recovered yet. You are going to train a muscle that is already broken down? If it hasn't repaired itself, and you break i down again, it won't repair itself to the same level.

You build muscle by breaking it down. The body repairs it just a little bit stronger each time so that it can handle the strain the next time it is put under the same stress. By breaking it down before it is repaired, you just lowered the level it will repair itself to.