Short answer: yes. But there's almost always more to the story ;-)
If you had noticeable but unexplained highs (you bolused for a normal meal but have odd high BG afterwards) then it might be a site that's going bad (no alarm yet, but insulin is not doing what it's supposed to do), then it would be wise to either change out the pod then, or ride it out but also take a pod (and insulin) w/ you just in case. I typically do not carry a pod w/ me for normal "around town" stuff (when I'm over to a friend's house for dinner, etc).
However I do keep an extra pod and a syringe in my truck's console, and I also have the same gear (and a vial of insulin in my frig) at work in my desk. And if I'm ever going farther than about 25-30 min drive (so "out of town") then I'd probably throw some insulin into my PDM/test strip/lancet device carrier (to use w/ the spare pod I keep in my truck). So typically I may not have it "on" me all the time (like a "kit" of gear), but I do have supplies stashed close enough that I can get to the stuff I need w/o inconveniencing myself too much (like turning around on a trip or suddenly having to leave a location and drive 2 hours to get a new pod and insulin, etc). If I am travelling far out of town, then yes, I carry extra supplies w/ me (when driving/flying out of state, going somewhere overnight, etc).
That being said, I've only had to actually use the spare pod in my desk on 1 occasion. And I've never used the spare pod in my truck either.
Ultimately I think it will depend on your lifestyle...mine is such that I can stash extra stuff around w/o actually having to carry it w/ me everywhere. Others choose to carry extra gear on their person. Others choose to 'risk it' and go w/o extra gear altogether (and in most situations, all of us--no matter our game plan--are alright ;)