Não,

você não pode se mover enquanto se agarrou.

...Grappled creatures cannot move and take a –4 penalty to Dexterity...

Slide Dimensional (Sob):

The arcanist can expend 1 point from her arcane reservoir to create a dimensional crack that she can step through to reach another location. This ability is used as part of a move action or withdraw action, allowing her to move up to 10 feet per arcanist level to any location she can see. This counts as 5 feet of movement...