Yes, it can often be done under local in the office setting in the right patient that can tolerate the injections. Best of luck.
It seems that you are describing a slightly hypertrophic scar that resulted from healing by secondary intention. This might only require a simple scar excision and re-closure which can be completed with local anesthesia. The downtime should be minimal and there should be little to no pain after the procedure. The chances of the incision opening up again is unlikely, unless you have a wound healing problem.