Yes and no. Statistically it's the exact same thing. The probability that 1 die will failto roll a misfire is less than that of 3 separate dice. This is why I hate advanced probability models, they defy logic.
Realistically every die is a little different. Everytime a die rolls its edges become more rounded, and if it's not properly balanced (the weight of the paint or lack of mass from having depressions for the pips or numbers affect this) the die will start to favor 1 result more than others.
A mathematician and professor had his stats students roll differen dice from different companies thousands of times and compare the results and found some interesting results. The most notable example of the numbers being off is that round edged pipped dice from chessex rolled 1's more than 20% of the time and rolled 3's and 4's less frequently than it should.
So those "lucky" dice that some people have may not be lucky at all, just poorly balanced