Sometimes.

There’s also digressive victimhood. That’s where someone in a dominant group is accused of wrongdoing, and they claim victimhood on some other axis.

When dominant groups are accused of discrimination against non-dominant groups, they often seek to portray themselves as the victims of discrimination instead. Sometimes, however, members of dominant groups counter accusations of discrimination by invoking victimhood on a new dimension of harm, changing the topic being discussed. Across three studies (N = 3081), we examine two examples of this digressive victimhood – Christian Americans responding to accusations of homophobia by claiming threatened religious liberty, and White Americans responding to accusations of racism by claiming threatened free speech.

https://www.sciencedirect.com/science/article/pii/S0022103121001360