With the exception of creatures from the outer planes (those related to alignment) an individual can have any alignment.
Some societies tend strongly to one alignment and most members of those have this alignment (and those who don't have big problems there) but some individuals choose to leave, are kicked out or were never part of the usual society of their race to begin with. Those can have the alignment they chose themselves or the alignment of the society they are part of (in case it is not the one that is typical for their race).
That's just my opinion.
But I think it is wrong to say "All members of race x automatically have alignment y."

Prof. Dr. Dr. Mad S. Tist

World leading expert of artificial stupidity.
Because there are too many people who work on artificial intelligence already