Yes, moving expenses are deductible on your CA tax return. You will have to complete the Moving Expenses interview under Deductions and Credits > Other Deductions and credits. This will generate a Form 3903 that should transfer to your CA state tax interview.
From 2020 Instructions for Schedule CA (540) California Adjustments - Residents
Line 13 Moving Expenses – California does not conform to federal law regarding the suspension of the deduction for moving expenses, except for members of the Armed Forces on active duty. Non-military taxpayers prepare federal Form 3903, Moving Expenses, using California amounts. If you have excess moving expense reimbursements, enter the amount of moving expenses from line 3 of federal Form 3903 on Schedule CA (540), line 13, column C. If your reimbursements are less than your moving expenses, enter the amount of moving expenses from line 5 of federal Form 3903 on Schedule CA (540), line 13, column C.
