Convert iPhone images to ColorSync Profile using iPhone?

I recently purchased the new Fuji Instax Link WIDE printer, which is a bluetooth device that can only be printed to using a phone app. The prints look like standard Polaroid-type images—terrible color, too bright and too contrasty—so I took to profiling the prints using a colorimeter, and created a ColorSync profile. Using desktop Photoshop, it’s a simple matter of converting an image to my custom Instax profile, and then sending it back to my iPhone for printing. The resultant prints are amazing!

Question: Is there an iPhone app that will allow me to convert an image to a ColorSync profile without sending it to Photoshop on my desktop? The whole idea of this battery-powered photo printer is to be able to make prints using only my phone.

The included pic is Before and After Profiling. The difference is dramatic.