Is It Possible to Have Augmentation in Rhinoplasty?

I actually think your nasal bridge looks nice.  Trying to build up your bridge runs the risk of leaving irregularities along the bridge which may appear as the swelling goes down.  In your case, I would not advise having this done based on your photo.

It is very common to augment a previous rhinoplasty. Using your own tissue is the best choice. This would include cartilage from the nasal septum, ear cartilage used as a saddle augmentation or rib cartilage.
A full exam would be needed to determine the extent of an augmentation. You also have to take into account any nasal airway obstruction. You may need additional cartilage grafts to improve breathing if that is the case.

Augmenting or adding to the nasal dorsum is frequently performed for both primary and revision rhinoplasty. The complexity depends on the underlying structure and strength of your nose. We can use natural substances such as cartilage from your own septum, ear or in extreme circumstances rib. Foreign, yet compatible substances can also be used in many patients.
I agree that your should seek out a revision rhinoplasty specialist. What may seem like a simple procedure may actually be more complex than one thinks. Revision specialists are used to addressing the many challenges that this procedure can provide and hopefully help you avoid needing more than one more operation.
As for nasal balance, discuss that with your potential surgeon. I like to use computer imaging to help decide together what else might help create a better balanced nose.