Atoms in an optical lattice are attracted to high/low field states depending on the quantum state the atom is in. Atoms in states that would be shifted down in energy by the application of an electric field are drawn to low-field regions and repulsed from high-field regions, and vice versa for atoms in states that would be shifted up in energy by the application of an electric field.
The answer to part 1 is that this is possible, and in fact atoms are already "repulsed" by parts of the lattice anyway. Which part of the lattice is attractive/repulsive depends on the state the atom is in.
Because optical lattices are by definition periodic, these "repulsive" regions are surrounded by attractive regions, and the atoms in you hand tend to migrate from the repulsive to the attractive regions. I don't think you'd be able to make a macroscopic force you could feel with your hand.