Would I be able to get the (large) gap between my teeth closed with cosmetic bonding? (Photos)

The ideal would be to close the gap with orthodontic treatment. With cosmetic  bonding the gap can be close but your teeth will be wider. It is a one hour process.

Without orthodontics, just bonding between the gaps will increase the size of each tooth and it would be appearing like wide teeth. Instead if we can do minimum orthodontics and move the front 4 teeth more to the center with little gap left between them and  then we can bond composite on 4 front teeth and balance the appearance. This would look more natural.  
Also to note that if there is a high frenum attachment then your dentist would prefer to alter that surgically or using laser and then do the bonding.
Also I would like to inform you that bonding materials discolor in few years. Porcelain veneers do not discolor. They last more than 10 years . But it would be expensive comparatively. You could consult your dentist regarding this.  

Hello, I suggest you put brackets instate of try to close the gap because it’s too  big, so with dental bonding the space will close but not at all. Think all the advantage and disadvantage. 

If you want it done in one visit, then bonding is the way to go. Bonding is considered a permanent material, but that doesn't mean it will never need to be redone, it most likely will at some point. Orthodontics is probably your best choice, but it takes longer and will be more expensive. Keep in mind that traditional orthodontics or Invisalign might not be permanent either. If you don't wear a retainer, then a gap can open up again.

jesf:The size of the gap between your upper front teeth will make closing this gap somewhat of a challenge.  The biggest issue is how to close that gap without making your two front central teeth appear too large (what some people call "horse teeth").  Sometimes we can camouflage this by making the next teeth (the lateral incisors) wider, but that doesn't appear to be an option for you now.You say that you don't want braces.  What about Invisalign?  Even if your gap wasn't completely closed, a dentist could use Invisalign to move the central teeth closer together and move the lateral incisors a bit, then you could have some cosmetic bonding done to the front four teeth to close the gaps while keeping all the teeth normal-looking in size.Make sure you get second (and third and maybe fourth) opinions on what's available to you.  Good luck!  Kevin Fitzpatrick, DDS, MS