From what I gained when I looked into Glasairs, the answer is no. To be fair, I was inquiring about the RG and not the fixed gear, but I think they are similar enough to say again, no. The pilots I communicated with told me that they were not comfortable on runways under 4,000 ft but could do it if they had to. 2,000 ft would be right out. I've never heard of anyone using them on grass strips.
Everybody really wants a plane that can operate out of a 2,000 ft grass strip and then cruise at 180kts, but sadly it largely does not exist in GA. If you must operate out of that strip, you will be cruising a lot slower.