Insurance companies look at many factors to determine a rate or risk factor for a driver or a vehcles.

Yes, your insurance rates can be affected by this incident; insurance companies use your driving record as a risk factor for calculating rates.

Yes, their insurance rates can be affected IF their insurance company had to pay a claim for this incident; insurance companies use claims history (or claims paid) as a risk factor for calculating rates.

If either rate is affected, you should shop for new auto insurance. There are companies that do not use these items as risk factors. The only way to find them is to shop for insurance.