Great question — answering as the UphillTech team:
No it's not possible. ( sadly ) You will have to use a different logic in order to create nested blocks. For example you can use a link_list field and use the text and URL from the links to populate the information you are looking.
Full answer by drip: https://stackoverflow.stackexchange.com/a/47807692 (CC BY-SA 3.0).
Need it done for your business? UphillTech.