It’s possible. The specifics depend on what the underlying carousel code looks like. One needs to be made compatible with the other. This likely involves custom coding. Given the display name you chose, I don’t think that’s the answer you’re looking for. If you wish to avoid techy custom code solutions, I recommend you don’t ask in a forum that targets developers 😉 While it’s not immediately apparent, the Fixing WP forum is good for getting plugin suggestions. Please don’t think you’re being shunned from the Developing WP forum. If you’re interested in trying a little coding you’re welcome to ask for help.
The carousel plugin you want to use likely has its own way of defining content that is not compatible with the default block structure. While it might be possible to structure the blocks to be compatible, you’re better off using the carousel’s intended content definition scheme.
I’m moving your topic to Fixing WP forum in case someone has further suggestions that you can use. Perhaps there is a carousel plugin that is built to work with block content. This topic’s URL remains unchanged.