Potentially yes, if the lyrics are human-authored and the registration accurately excludes the non-claimable AI material.
You wrote the lyrics yourself. Those are human-authored. Suno itself says that if you wrote the lyrics, you own those lyrics, and the U.S. Copyright Office says human-authored expressive material can remain copyrightable even when AI is used elsewhere in the work.
Suno generated the vocals and instrumental/music. Those portions raise a different copyright question. The Copyright Office says AI-generated material is protected only to the extent there is sufficient human authorship; merely prompting an AI isn't enough by itself.
There's also a crucial Suno licensing requirement. Under Suno's current terms, a song downloaded while using a paid Pro or Premier plan can be commercially exploited, including distribution and use in film, television, and video games. Songs generated under the free/basic tier generally do not carry commercial-use rights, and upgrading afterward does not automatically give previously generated songs those rights.
Current U.S. Copyright Office guidance distinguishes human-authored material from AI-generated material, and Suno itself distinguishes commercial-use rights from copyrightability. Suno currently grants commercial use for qualifying downloads on paid plans, while warning that this does not guarantee copyright protection.