Yes. Don't confuse "move" with "Move Action".
Charge is a Standard Action which allows you to both move your Speed and make a Basic Melee Attack, and then ends your turn.
Walking is a Move Action which allows you to move your Speed.
On your turn, you have one Standard Action, one Move Action, and one Minor Action, which you can take in any order.
So, if your character has a Move 6, its perfectly viable to:
A. Walk 6 squares as a Move Action, then Charge 6 squares to attack as a Standard Action with a normal turn.
B. Charge 6 squares to attack as your only action, a Standard Action, during a Surprise round.
C. Shift 1 square back with your Move Action, then Charge 5 squares to attack some other creature with your Standard Action .. thus not provoking an opportunity attack from the guy you started out adjacent to.
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Regarding C:, one party I play in has a shaman whose spirit companions allows an extra shift as a Free Action ... the party Dwarf Warden loves to take the Free Action shift backwards, then a Move Action shift further back, then Charge 2 squares to attack the creature he started the turn adjacent to!!
I get the feeling he does it just because he can, rather than because its the optimal move!)