Greenhouse against cob?

If I build a cob house, can a greenhouse be built attached to the kitchen? As in, the house outer wall is one wall, and then a low wall and clear sheeting (eventually, glass) for the rest? Or will the humidity in the greenhouse cause problems for the cob house wall? No dirt or standing water would touch the house - each of the beds would be raised, the rest a stone walkway with drainage, and the cob will be on a stone foundation.

Humidity will be a problem for the cob. What is the avg humidity for your area, is it desert single digit or the usual 70% on the east coast

It can definitely be done. Check out this thread at permies

If you were really concerned about it you could finish the cob inside the greenhouse as Tadelakt, a waterproof earthen plaster.

Assuming you live in the desert and you can use a swamp cooler then yes. I know that certain places on the east coast even without a leaky or a greenhouse quickly develop a mold problem.

It is pacific northwest, and we won't be on grid for electric so we can't run a swamp cooler.