It depends. The requirements for the California Renter's Credit are:
All of the following must apply for tax year 2023:
- You paid rent in California for at least 1/2 the year
- The property was not tax-exempt
- Your California income was:
- $50,746 or less if your filing status is single or married/registered domestic partner (RDP) filing separately
- $101,492 or less if you are married/RDP filing jointly, head of household, or qualified widow(er)
- You did not live with someone who can claim you as a dependent
- You or your spouse/RDP were not given a property tax exemption during the tax year
See here for more information from the California Franchise Tax Board..
The addresses where you rented don't matter as long as you paid rent in CA for at least half the year, the property was not tax-exempt, and you meet the other requirements.