Is it ok to replace the tire of 175-70R 13 with the tire of 165-70R 13?

First of all, it is suggested that the tire size you buy should be the same as that assembled by the original car. If you need to change the tire size, you must go to a professional refit shop to upgrade the tire, or consult a car manufacturer.

The following factors should be considered when modifying tires:

1. Local traffic regulations (will not affect the annual inspection of vehicles, vehicle warranty, etc. );

2. Tire speed and load index;

3. The specifications of the rim, such as width and offset;

4. Space;

5. Suspension system of automobile;

6. (Important) The bearing radius of the tire remains unchanged;

Therefore, it is suggested that the conversion and installation of tire size should be carried out by professionals. If necessary, please consult the relevant laws and regulations of the automobile manufacturer.

Considering that the bearing radius of the tire remains unchanged, your modification scheme is not feasible.