BirdNET from the Cornell lab of ornithology provides that api.

Unless I am missing something massive, BirdNET[0] is for identifying birds by sound, not by images.

Merlin[1] (also from Cornell Lab of Ornithology), on the other hand, has both image and sound ID. I haven't used either, so I cannot compare the quality of results from Merlin vs. BirdNET for sound ID, but afaik only Merlin has image ID.

0. https://birdnet.cornell.edu/

1. https://merlin.allaboutbirds.org/