Sure, you could get large Bitcoin miners to get certified with some authority, so that they can put a stamp on their website that tracks all of the transactions that were made with renewable energy.

However, people can, and will, lie and cheat for profit. In this case it's in the form of PR and playing nice with the Government, possibly for tax reasons.

We've seen this same story play out in the car industry[0], and that has far fewer (albeit far larger) players that need to be properly regulated.

So, from a technical perspective, how would you achieve this goal? Could one mathematically and cryptographically prove that the work was done using renewable energy? I don't know, that's something for someone much smarter than me to figure out.

[0]: https://en.wikipedia.org/wiki/Volkswagen_emissions_scandal