Similar thread here: https://forum.inaturalist.org/t/api-to-retrieve-photo-metadata/15616
And related GitHub issue here: https://github.com/inaturalist/iNaturalistAPI/issues/188
It seems like that’s unlikely to be added to the API, but here is an example of parsing that info from the web page: https://github.com/pyinat/pyinaturalist/blob/main/examples/observation_photo_metadata.py
Example output for the photo you linked:
{
'Aperture value': '10.0',
'Artist': 'Per Hoffmann Olsen',
'Attribution': '© Per Hoffmann Olsen some rights reserved',
'Bits': '8',
'Copyright': 'Per Hoffmann Olsen',
'Date time': '2022-06-19T20:21:47+02:00',
'Date time digitized': '2022-06-19 18:34:30 -0700',
'Date time original': '2022-06-19 18:34:30 -0700',
'Exposure bias value': '0/1',
'Exposure mode': '0',
'Exposure program': '3',
'Exposure time': '1/200',
'F number': '10/1',
'Flash': '9',
'Focal length': '100/1',
'Focal plane resolution unit': '3',
'Focal plane x resolution': '91421943/32768',
'Focal plane y resolution': '91421943/32768',
'GPS altitude': '357.31',
'GPS altitude ref': '\x00',
'GPS date stamp': '2022:06:19',
'GPS latitude': '48.133698333333335',
'GPS latitude ref': 'N',
'GPS longitude': '16.239735',
'GPS longitude ref': 'E',
'GPS map datum': 'WGS-84',
'GPS status': 'A',
'GPS time stamp': '[(16/1), (29/1), (36/1)]',
'GPS version': '\x02\x03\x00\x00',
'Height': '1080',
'Iso speed ratings': '2000',
'Make': 'Canon',
'Max aperture value': '3/1',
'Metering mode': '5',
'Model': 'Canon EOS M50',
'Pixel x dimension': '1920',
'Pixel y dimension': '1080',
'Resolution unit': '2',
'Scene capture type': '0',
'Shutter speed value': '1/199',
'Software': 'Adobe Photoshop 2022 Windows',
'Source': 'iNaturalist',
'Subsec time': '14',
'Subsec time digitized': '14',
'Subsec time original': '14',
'Uploaded by': 'per-hoffmann-olsen',
'White balance': '1',
'Width': '1920',
'X resolution': '300/1',
'Y resolution': '300/1',
}