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YES. California as a whole is a year round destination. For the best chance of sun stay south.
Look into Palm Springs. Warning though, it will likely be sunny but cool or even cold. Average high in January is between 67-70F (18-21C) (From a Wyndham Resorts/Vacation Palm Springs website).
If you want ocean with your sun, the water temperature in La Jolla (north of San Diego) will be around 55-63F / 15-17C. Gathered from Google searches, but here's a temperature table for various southern California beaches from NOAA.