No. Your pension income is only taxable on your resident state return. California does not tax the CalSTRS benefits of nonresidents.
For Nonresident:
California does not tax the IRA distributions, qualified pension, profit sharing, and stock bonus plans of a nonresident. California taxes compensation received by a nonresident for performance of services in California. FTB Pub. 1100
California does not impose tax on retirement income received by a nonresident after December 31, 1995. FTB Publication1005
If you already filed CA nonresident return and claimed your pension income, you need to amend your CA return.
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