Short answer: NO. Because ‘white’ is not a culture, and because ‘white’ people were, and sometimes still are, racist assholes.

Long answer: So the reason black people (in the US especially) have an aggregate conglomerate group identity is because they were brought over as slaves, seperated from all their family, and basically had their own cultures beaten out of them. They had to rebuild their cultural identity from scratch.

‘Asians’ tend to not have a bloc group identity except when they get together as a bloc to stand up to white people being assholes (again, yay racism). Individual cultures did, in the past, have insular cultural communities (again speaking mostly US-centric) because ‘white’ people in the US didn’t want ‘those icky non-whites’ living near them (to the point of codifying it into law in many cases). They had to create their own communities in specific ‘permitted’ locations, based on nationality (hence the development of ‘Chinatowns’ and such).

‘White’ people, on the other hand, moved to the US voluntarily and were able to keep their cultures intact and plop them wherever they felt like. So it’s disingenuous at best and outright racist and belittling at worst to claim a ‘white’ identity because ‘black people get to do it’, completely ignoring the fact that black people only do it because people labeling themselves ‘white’ forced them into it.

Edit: adding to this, it is possible for ‘white’ people to have a cultural identity. For example, my family all came from Sweden, and for quite a while found comfort in hanging out with fellow transplants from the home country while we learned the language, found jobs, and such.

As a result my ancestors built Swedish halls, held Swedish festivals, and so on—in fact we still do today, to celebrate our heritage. But we are celebrating Swedish heritage.