It think it is OK to say that.
More the freedom of movement of the molecules, more will be the number of effective collisions, as the molecules are free to move about in the container.
When u consider a gas and a solid, although the gas molecules are free to move about, the solid is actually confined to a restricted space in the reaction container.
But when u consider a reaction mixture with aqueous reactants, then the components are much more mobile in the liquid phase than the previous case with solids and gases.
So, i think u are right in saying that the number of collisions in much more in the aqueous medium.