There is an option to convert any particular task list item into a card. Now is there any option to convert a whole list into a card.
Sometimes we add multiple checklist in the same card and later on we need to move a complete checklist to card.
With the copy card functionality you could select 'Copy' from the card menu and check to only keep the checklist items.
You can then open the copied card, select the drop down menu on any checklists you do not want, and select delete.
A little tedious but it gets the job done :)