Yes.
Buy a bottle of APC (All Purpose Cleaner) from Autohub.pk or Luxo Biz Spa.
- Spray the APC on the rusty/corroded emblems, let it settle down.
- Agitate it with a brush carefully (You can use an old toothbrush).
- Wipe off the rust with a microfiber cloth.
The rust will go away easily. To prevent the rust from coming back, apply a thin layer of car wax onto the cleaned emblems, I usually apply a thin layer of Collinite 476S on all the emblems and chrome surfaces, whenever my car is waxed every 10 months. In your case, you can use the wax of your choice.
I hope it helps.