Whiteness is a social construct so it can be defined in any arbitrary way. Some consider Jews to be white today, though historically they were not considered so, and many white-supremacists today do not consider them white.

In terms of skin tone it would depend on the geographic origin of a person’s ancestors, as with virtually all humans. Jews from Northern Europe tend to have similar skin tone as other people of European ancestry, while those from the Middle East or North Africa are similar to other people from those regions.

But remember that skin tone isn’t really what people mean when they say white. In my social circles there are black people with paler skin than some white people, yet no one questions who belongs with which “race”.