Is there a block for short codes?

Hello Johannes-

Thanks for reaching out, and thanks for using the Post and Page Builder plugin for WordPress.

There aren’t specific blocks in the Block Library for shortcodes. You can paste the your shortcode into any existing block. Some block types are easier to use for shortcodes than others, for example the blocks in the Audio and Video category are designed with embedded content in mind.

Another possibility is that many plugins that provide shortcodes also provide Widgets, which you can access from the (+) Add Block Component menu, as you can see in this example: