Yes there is. To learn about all available URL parameters, start with this tutorial:
https://forum.inaturalist.org/t/how-to-use-inaturalists-search-urls-wiki-part-1-of-2/63
For some answers to your specific needs, jump to here in the tutorial:
https://forum.inaturalist.org/t/how-to-use-inaturalists-search-urls-wiki-part-2/18792#heading--media