Yes, but some won't acknowledge that it's already happening (upwards), and they'll criticize the general concept as taking money away from people who earned it. I will tell you that I worked harder for near minimum wage than I do now for above median wage. The people benefiting from the status quo tend to demonize any threat of changing the status quo, and the language used is intentional in order to frame an argument that assumes that their preferred system is the default and normal one.

One of the main criticisms against environmental taxes is that they're regressive. Many of us support those in addition to wealth taxes, so we're in favor of redistribution both to and from the poor. Although perhaps then we could argue we're transferring wealth into the future.