Not exactly, though many apps violate Apple's Human Interface Guidelines for macOS menu bar extras[1]:

Let people — not your app — decide whether to put your menu bar extra in the menu bar. Typically, people add a menu bar extra to the menu bar by changing a setting in an app’s settings window. To ensure discoverability, however, consider giving people the option of doing so during setup.

Avoid relying on the presence of menu bar extras. The system hides and shows menu bar extras regularly, and you can’t be sure which other menu bar extras people have chosen to display or predict the location of your menu bar extra.

Consider exposing app-specific functionality in other ways, too. For example, you can provide a Dock menu that appears when people Control-click your app’s Dock icon. People can hide or choose not to use your menu bar extra, but a Dock menu is aways available when your app is running.

[1] https://developer.apple.com/design/human-interface-guideline...

Yes, it was a huge mistake to allow any random app developer to claim such a prominent and limited piece of screen real estate. But it’s been an option for so long now that everyone will scream bloody murder if they try take it away.

Apple’s opinion seems to be: running out of space happens to only a few people running tons of menu-bar-loving apps, so if you are dorky enough to run into this problem, you should be dorky enough to solve it yourself.