Yep. To be fair the resources used for paper money can be used for other things. Its why the community sincerely pushes for the use of digital currency. Its much more secure rather than banks, all it needs is just you become a responsible user of it.
Yes, you may cut tress to create and manufacture the special paper that will be used for the extraction and result of our fiat money. Digital money, cryptocurrencies can use alternative energy depending the source of it.
Mining bitcoin contributes to the heat that the world has right now as they say but they never looked to that situation, where forests became empty because of illegal logging. Thus, there's too many way to produce renewable energy that can be used for mining.