My Nose has a gap in the cartilage but also have a deviated septum, would a septoplasty and turbinate reduction reduce the gap?

The gap sometime seen between the tip cartilages is due to separation of the medial crura and the bend of the lower lateral cartilages.  The way to repair this is with a tip rhinoplasty.  The septum is generally not responsible for surface problems at the tip.

The gap  you are referring to the cleavage between the left and right nasal tip cartilages. This gap must be closed with the rhinoplasty procedure which is considered cosmetic to change the shape of it. Expect to pay for this component yourself. Suture techniques or cartilage graft can accomplish improvement of the cleavage between the two nasal domes. A septoplasty and turbinate reduction are performed in the back of the house for airflow management and will not change the shape of the nose whatsoever. Septoplasty and turbinate surgery are functional procedures. For more information about the differences between cosmetic and functional nasal surgery, please see the link and the video below

You really need to be seen -- but it appears as if your tip cartilages are split apart and would need to be put together. At a minimum a tip plasty would do that. The septum is not involved at all.