Q.Will Christmas Holly Bush Grow In San Diego?
The Christmas type of bush.

Certified GKH Gardening Expert
You are limited to which cultivars will grow in that warm of a climate. The Yaupon Holly is definitely a warm weather cultivar. This will help:
https://www.gardeningknowhow.com/ornamental/shrubs/holly/growing-yaupon-holly.htm
https://www.gardeningknowhow.com/ornamental/shrubs/holly/growing-yaupon-holly.htm

Ilex aquifolium, common holly, aka English holly is the Ilex species most often associated with Christmas images. While it is grown commercially in the Pacific Northwest, it does not do well warmer than zone 8. It is also listed as an invasive plant by California Invasive Plant Council. Therefore, there may be regulations on whether it can be grown in Cal. Note that most hollys are male or female. For best berry production (only on female plants) a male plant should be planted nearby. Here are some holly articles: https://www.gardeningknowhow.com/ornamental/shrubs/holly/growing-english-holly-plants.htm
https://www.gardeningknowhow.com/ornamental/shrubs/toyon/toyon-plant-care.htm