Yes. I don't go around biting large objects like couches but I mouth and bite a lot of smaller non-food items.
I have enough self-control not to do it in public. Paper, wooden popsicle sticks, bits of string, and pieces of plastic or rubber... mostly. I also bite the end of pens, but not enough to ruin how the pen looks. If it has a little stopper on the end, I like to force it out and play with it in my mouth. How embarrassing to say it... does anybody else do it to this extent? I like gum, but frankly it's a little different and doesn't replace the other textures.
I don't do this infrequently, either. This is quite the obsession.