Biogas is renewable because "From a carbon perspective, as much carbon dioxide is absorbed from the atmosphere in the growth of the primary bio-resource as is released, when the material is ultimately converted to energy."
However, if you are asking if CH4 is produced chemically as a product of processing OTHER gases, then the answer is only a mild "sort of". When natural gas from within the Earth is removed from the ground, it contains methane, propane and other gases that are separated into their components. However, most of the nat gas IS methane to begin with. So, saying it is "produced" is sort of true and easily misunderstood.