Is it possible to edit the names of Bibtex entries on Google Scholar?
It is unlikely that this is specifically documented anywhere, but the answer is almost certainly no.
Article entries in Google Scholar, which contain the BibTeX link, are based on information crawled by Google on the web. This itself cannot be changed by you, even if you are the author. This is also mentioned in their help page:

The description of my article is wrong and I am appropriately
irritated. How do I correct it?
We apologize, and we assure you the error was unintentional. Automated
extraction of information from articles in diverse fields can be
tricky, so an error sometimes sneaks through.
Please write to the owner of the website where the erroneous search
result is coming from, and encourage them to provide correct
bibliographic data to us, as described in the technical guidelines.
Once the data is corrected on their website, it usually takes 6-9
months to a year or longer for it to be updated in Google Scholar. We
appreciate your help and your patience.

The articles on your profile, for which you can edit some fields, are connected to these existing Scholar entries.
It appears that Google Scholar uses the format &lt;last-name-of-first-author&gt;&lt;year-of-publication&gt;&lt;first-word-in-title&gt; for its BibTeX entry names. Since you cannot change the title in the original crawled Scholar entry (which would not make much sense in any case), it is unlikely that you can change the BibTeX entry name either.