This is exclusively all I do, for years now. This developed over time, and here's how.
I smoked cigars once upon a time, but when my kids came along I stopped. Soon my pipe smoking was just for outside, didn't smoke in the house with my children. When I was in the office (a writer's room) I couldn't smoke, so I wound up with it in my teeth most of the time unlit, and would light it on breaks. But soon the breaks were fewer and fewer. To relax I'm a fine art painter--I don't light a flame there because of very combustible solvents, turps, etc.
So, slowly but surely I got to just enjoy the aroma and flavor of just an unlit pipe. I still try different tobaccos for the taste and aroma I get "dry" smoking, I still buy pipes, but now I am enjoying them as beautiful works of art--it matters little to me how they smoke. If I buy a Dunhill, I'm buying for the beauty. A Costello--same way, etc etc.
So, I guess that makes me not a pipe smoker at all--except I do everything a pipe smoker does --buy tobacco, fill my bowl, collect beautiful pipes--without lighting them. I know it sounds crazy, but I really enjoy it.
So to answer the OPs question--you bet I do! All the time! It's kind of nice to know there are others who do the same, and it's not just me alone in my non smoking pipe smoking. Cheers!