I'm not sure if it should be said all pitchers have control over their pBABIP or not, but enough have enough control over theirs that if you look in the editor some pitchers have a pBABIP value. Many don't have a value so the default is used for them.
FanGraphs has a good page on BABIP.
IMO, BABIP should have been plainly visible in the game a long long time ago so I'm pleased it's finally visible on the non-editor screens. In the past, if you didn't look at the editor, you had to do some mental math to guess at a player's BABIP so it's great that we don't have to do that anymore.