Photosynthesis immature fruits
Yes.  Both fruits and seeds often possess stomata as well as chloroplasts, which have been shown to be quite important in many cases for seed and fruit development.  It makes sense when you think about it.  If these vital components of the plant can make some of their own energy, rather than relying entirely on sugar reserves produced elsewhere (especially given how much sugar your average fruit has to produce), this would be a vastly more efficient system.  If you are interested in a more detailed look at fruit and seed stomata, the following paper should make for a good starting point:

https://www.jstor.org/stable/2442508?seq=1#page_scan_tab_contents

The authors of this paper conducted an in depth investigation of the structure and functions of the fruit and seed stomata present in a number of species within the Eschscholzia genus.  It's an interesting read.