On games with original locks.....I always try to pick them just in case an extra set of keys are inside. And quite often.....I have found a set of keys behind a picked lock!
To answer your question...yes...double bitted locks can be picked with two of your favorite picks and a standard turning tool. Unfortunately...everything is technique and practice. My father is/was a certified locksmith at one point and he taught me. Interesting enough when your 'feel' gets good enough and you can set pins to the shear line with ease....you will find you can use your second pick held by your teeth to set the last pin(s) on a double bitted lock. Sounds strange.....but I do it that way.....and it works.
Of course....if you do something like this on a daily basis there are tools you can purchase that in effect 'give you a third hand'. The word of caution from my father always was....."If you have tons of specialty lock picking tools that better be your business or you will look like a criminal". Having 3 picks in your pocket and being able to open anything based on technique is what I was taught as 'the code of ethics' of lock pickers. Last time I was needed I opened a hardened/security 7 pin tube lock for a friend on a change machine....with the same set of standard picks. I was quite pleased to be able to do that and the original T-handle lock/mechanism was saved as well! ;-)