Just answered my own question. Yes you can, with a caveat. An EU2200i and an EU2000i can be paralled if the EU2000i is within certain serial number range.
The 2200i can parallel with any 2000i Honda whose serial number falls within the following range. EAAJ-2017305 thru EAAJ-9999999 and EACT-1000001 thru EACT-9999999.
I got this information from the official Honda Power Equipment web site.
Erroll, Mary
2021 Coachmen Freedom Express 20SE
2014 F150 Supercab 4x4 w/ 8' box, Ecoboost & HD Pkg
Equal-i-zer Hitch