Yes, everything can be done with small hands. The biggest issue is the size of the cube you are using.
If small hands are an issue for you, you might want to look into getting a smaller speed cube. There are many available online that are smaller but still functional.
The classic Rubik's cube, as well as the cube provided in Cube 3, is a 56mm cube. Speed cubes can get as small as 50mm and all of the routines would work just fine with one of those. The MOFANG JIAOSHI MINI 3X3 is a good option for those with small hands.
