I guess you are trying to avoid to movement into the other objects. It doesn't look like the jump is made using physics and as such no collision detection takes place. Before the movement takes place, you need to check whether you can move to the target position. That means, you need that information somewhere. I assume you have a tiled structure. You may have something like a TileManager that gets informed by each object where it is. Like that you can have some logic in your TileManager that calculates which tiles are free and as such to which tiles you can move.
That Jump Is from Animation And The Movement Is From A Script I Can Show You That Script To You If You Want ...