This really depends on the scale of the production and the elements involved. Generally speaking, carbon follows cost, so the smaller the budget the smaller the impact is likely to be. The majority of carbon for the average footprint is associated with air travel. If this is removed (e.g. attendees are replaced with local crew), there is a cost (and carbon) saving of the flight, hotel and per diem / meals. Similarly if less waste is produced, it should cost you less to remove from the shoot. In the same way, reducing power needs to save carbon from electricity or fuel consumption should result in lower costs – as studios usually charge by the unit for example, and generator companies by fuel used.
Some products and services which support reduced carbon production of the work we make may be higher, whilst they are newer and demand is not as high, but we hope these will continue to fall as demand increases.