IIRC only pistol caliber AP is not legal to possess. Refer to Ca. penal code sections:
12320. Any person, firm, or corporation who, within this state knowingly possesses any handgun ammunition designed primarily to penetrate metal or armor is guilty of a public offense and upon conviction thereof shall be punished by imprisonment in the state prison or in the county jail for a term not to exceed one year, or by a fine not to exceed five thousand dollars ($5,000), or by both such fine and imprisonment.
12323. As used in this chapter, the following definitions shall apply:
(a) "Handgun ammunition" means ammunition principally for use in pistols, revolvers, and other firearms capable of being concealed upon the person, as defined in subdivision (a) of Section 12001, notwithstanding that the ammunition may also be used in some rifles.
(b) "Handgun ammunition designed primarily to penetrate metal or armor" means any ammunition, except a shotgun shell or ammunition primarily designed for use in rifles, that is designed primarily to penetrate a body vest or body shield, and has either of the following characteristics:
(1) Has projectile or projectile core constructed entirely, excluding the presence of traces of other substances, from one or a combination of tungsten alloys, steel, iron, brass, beryllium copper, or depleted uranium, or any equivalent material of similar density or hardness.
(2) Is primarily manufactured or designed, by virtue of its shape, cross-sectional density, or any coating applied thereto, including, but not limited to, ammunition commonly known as "KTW ammunition," to breach or penetrate a body vest or body shield when fired from a pistol, revolver, or other firearm capable of being concealed upon the person.