Girls - Yes. Some girls just want to play instruments when they see them lying around. I always let girls play because 1) they never damage them, 2) they always say "oooh, how big it is, those strings are so thick... 3) They always say "it must be hard to play this.
Guys - Not so much. Unless they show some musical grounding and a keen interest and there can be an unofficial teacher > pupil vibe then no. At best they will try and play Tenacious D covers on it or make some lame joke about the fewer strings.
Other bassists - rarely. Some of them offer unhelpful comment about the setup, the groundwound strings I favour or some other petty squabble. They will 100% of the time have wetter or greasier hands than me and I will always know they have used it. For the same reason I never let my brother use my touch screen phone: he leaves a month's worth of finger grease on it in one sitting.
Guitards - never. They might pick it up, but they will look silly. They never ask me first and instead assume they have a right to touch my gear. They will use a pick and somehow leave little marks on the finish. I have nothing against bassists using picks, you have to learn how to pick a bass instead of a direct guitar technique transfer. Sloppy strumming looks magnified on a bass. Knowing them something else freaky will happen like the jack socket will come lose or a knob will fall off. Like the bassists they will also offer unwanted advice, but it won't even be helpful. Some psuedo-science guitar tricks like "I totally use Vaseline to condition my fretboard" or "my mate could totally put a Floyd Rose on this" or "you should totally put SD pickups in this" even though they will have no prior knowledge of SD's bass pickups.