for minecraft NO
for everything else YES
mine craft still requires a half decent GPU to play. The intel 4600 is the integrated graphics on the chip.
Unfortunatly in the laptop space there is no middle ground. In short: can game, has good cpu, < $900 - PICK 2
To stay at $600 or bellow you will have too look at AMD A8/A10 cpu laptops which will have decent enough GPU to play minecraft, but will be slower overall and not do photoshop nearly as well as even an i3 procssor.