She would once she gets a rework with healing in her kit. Just like bridge gives armor and heals. Sym can easily be allowed to grant shields and heals as well. ITs all about reworking the character and allow healing to be added into her kit.
here are some QUICK examples i made. If they actually communicate, i could make a much more well thought out one.
Support Concept Ideas for sym:
Idea For New Support Hero and Symmetra Sup Rework Idea