Q.Can I Plant Symphoricarpos Alba In California Zone 13
If yes should I get a growing plant or use seeds

Certified GKH Gardening Expert
It is not rated as native to your, specific, area, but is native to your state. I know that is not saying much, given the size and diversity of the climate of the state.
With this being said, I fear that it may not be cool enough in the winter for this plant. This may mean that it does, less-than-perfect, or it could be that it does not grow well, at all! It could mean that it grows, perfectly, as well.
I do find evidence that it grows nearby, so it could be worth a shot to try. It is, always, best to start from live plant, but is more expensive, as well. Seeds can be more dispensable, but take longer to grow, as well.This article will help you to know what care this shrub requires:
https://www.gardeningknowhow.com/ornamental/shrubs/snowberry-bush/snowberry-bush-care.htm