Nope, if your beer is on the pressure you say it is and the keg is sealed, your beer will carbonate. It's just forcing CO2 into solution, it's not like refermenting where you need to worry about yeast health/temp etc.
Either your keg is not sealed (there's a leak somewhere between the CO2 bottle and your keg) or your beer is not cold. Less CO2 will be soluble at room temps- there are charts and calculators. Most beers take about 2.5 volumes. Make sure you understand how to balance your draft system, so that your serving pressure is the same as your carbonation pressure, meaning at your serving temp, the correct # of volumes of CO2 are in your beer and you can serve on your lines without foaming. At my house, on my lines, in my fridge at my favorite temp and carbonation level, this is about 11 PSI @ 39F, with between 7 and 10 feet of line.
I can't be arsed to keep up this list of what's in the fermenters, but hey, check out the cool brewery I own!
twitter.com/2kidsbrewing .. facebook.com/2kidsbrewing .. 2kidsbrewing.com