I remember a mod for Oblivion that allowed your character to force-open a locked chest if you didn't have lock picks in your inventory (or you could manually attempt to force-open it even if you had lock picks but didn't want to use them). You needed just enough strength I believe, but could also use magic attacks (Destruction school). I think that only the most powerful bows + arrows combination (enchanted arrows especially) also worked for archer characters.
In Dragon Age 2, if I recall correctly, there's a locked chest right before the fight against the Ogre (talk about staring area chests). What's the point of starting area locked chests other than teasing? "HAHA! I'm a locked chest, you're Level 2, keep looking at me you sucker! HAHAHAHAHA!", ok... ? I don't mind if there's a locked chest in another higher level area say... once you reach something like level 10 or something like that, sure... I can just walk past (whilst trying to ignore the sense of urgency in trying to figure out a way to open the damn thing anyway, merely because it's there). But yeah, locked chests in starting areas do irritate me.
Now, to be honest, locked chests to start with - in my opinion - are overdone in video games and dates back to days of video games so old that I wasn't even born yet (I think they had those in text-based adventure games). I mean DA:I is not a very figurative-heavy 2D game that relies on your interpretation of everything, what happens on screen also has a good sense of literalism... the damn chest is there, it's a chest, it's locked and I have a massive Final Fantasy-style Greatword and IT'S ON FIRE... I can KILL DRAGONS with that thing... BUT... oh man... oh no you cannot force-open (bash the living crap out of) a wooden locked chest with it. I mean, dude get real, it's a locked chest for crying out loud, keep killing those squishy dragons instead!
It tends to break a certain degree of immersion, just saying.