Can a bifid nose tip and a little groove at the tip be fixed by bringing the cartilage together? (Photo)

The bifid nose tip is controlled by rhinoplasty surgery. However, the absence of the shadow of the groove will make the infra-tip appear wider unless the tip contours are also adjusted. You can test this by having an injectable filler treatment to control the groove in isolation. 
If you only have the cartilages brought together with sutures, there is a small risk that the underside of the tip may appear more curved- a columella overhang- because the lateral edges of the cartilages move down and they seem naturally wide. 
Depending on the shape you seek to achieve for the tip of the nose, a degree of repositioning and reduction in width of the cartilages seems adequate, combined with a supporting graft to control both the curvature and the smoother contour of the infra tip. 
Your surgeon should be able to evaluate and discuss these details with you. 

Correction can be surgical (permanent) or non-surgical (temporary).  Surgical correction of the cartilage separation is performed during rhinoplasty.  Simply filling the groove with filler products like Juvederm can help fill the groove but does not adjust the cartilages; the product is temporary and needs to be injected by a experience injector familiar with nose injection every 1-2 years.  Seek out a board certified plastic surgeon experienced with noses.  Facial plastic surgeon in this case could be ok too.  Best Wishes!!

Yes, separated tip cartilages and bifid tip deformity can be corrected with adjustment of cartilages and resection of soft tissue of the tip. In person consultation with board certified plastic surgeon, expert in rhinoplasty, is recommended. Good luck.