One can document the access date of a referenced URL with the `urldate` key in #BibLaTeX or the `accessed` field in #CSLJSON. E.g. in BibLaTeX:

@online{pandoc,
title = {Pandoc manual},
url = {https://pandoc.org/MANUAL},
date = {2022},
urldate = {2023-01-03}
}

Not all citation styles make use of this info, but "author-date" styles do. The #Zotero #CSL style database can be filtered for those; pick the one you want here: https://www.zotero.org/styles?format=author-date