While it's not possible to reuse paragraphs you can create a paragraph type that mimics this behaviour.
Prep reusable content.
- Create your various Custom Block Types at Administration > Structure > Block layout > Custom block library. This should already have a Basic block.
- Create your reusable content using these block types at Administration > Structure > Block layout. Click Add custom block, select the Block type you want, fill in the content for it.
Add a Block Paragraph Type.