Yes she can if there is a white gene in the family
More detail:
A black woman can give birth to a baby that looks white if the child is born an albino. This is when the normal pigments that give the skin its natural color is not present, making the child seem white.
A black woman can also give birth to a baby that looks white if the father is white, and resembles the father more than the mother.
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Some of these answers show how poor of a command people have of genetics and even common sense.
Yes. A black woman can obviously birth a white baby since it's been done multiple times without white sperm.
A black man and woman can produce a white looking baby devoid of (pay attention here) typical albino traits.
There are even scores of black men and women born from very light complexion parents who do not fit the stereotypical definition of "black"... which is really just an arbitrary societial term for people with dark skin who do not have stereotypical "white" features.