Can I have tiplasty and alarplasty only without the rhino (goretex bridge implant)? (photos)

Based on your photos, I think it will be difficult to only alter your nasal tip without also augmenting your nasal bridge.  Some of the techniques utilized in creating a more refined tip is to alter the tip cartilage and grafts which may raise your nasal tip.  This may make your tip too high for your nasal bridge.  If you are opposed to any synthetic implants, you can consider using an autologous graft such as diced cartilage fascia (DC-F).  

The primary problem is that like many Asians, your nose is short (can see into your nostrils). Narrowing the tip and nostrils will make this only worse. You need nasal lengthening in combination with tip plasty - the nostril width itself does not look bad. Nasal lengthening almost always requires rib cartilage because you need long thin strips of cartilage to accomplish this. Although donated rib is an option, for younger patients like you I would strongly prefer using your own rib.

I think your bridge looks fine. You don't necessarily augment the dorsum with alloplast. Tip projection looks fine but a little bulbous. I suggest you tip refinement without alar base surgery. Thanks.