It's possible to start agile projects without requirements but with loads of user research and prototyping instead.
Before you start writing software, have at least one
clear objective. You might call this a requirement, a
user story, or a specification. Give the developers a
target to shoot at. Otherwise, you will be swimming
upstream.
Prototypes and research give you a target, even though they aren't "formal" (by some definition) requirements.Even producing the prototypes meant you probably had some objectives unless someone just typed something out one day entirely on a whim.