You probably require at least a tip-plasty in order to create a narrower tip. In general, any rhinoplasty should aim for balance within the nose. Therefore, just narrowing the tip may not be sufficient but additional adjustments may be required in order to achieve a nicer nose.
No, it is not possible to narrow the nasal tip without removal and sculpting of the nasal tip cartilages. In order to accomplish this rhinoplasty surgery must be performed.