Unlikely, it would take longer to wear a tyre edge like that. Under-inflation of the tyres will cause both edges to wear. If it's only the inside edge then it will be something suspension related - if the car is lowered, has cut springs or larger than standard wheels this will happen. Alternatively, worn shock absorbers could result in the car sitting lower than usual (if the compression damping has gone) or worn bushes can cause the geometry to go out.
You might need a full geometry check and set, rather than just tracking (which is done pretty badly in most places - they just align the fronts to the rears, rather than check that the rears are correct and that all the geometry settings are correct).