Actually, evolutionists will tell you the progenitor of the eye arose only once and the variations of eyes found throughout nature are the result of local selection. The prediction here is that the gene encoding eyes will be similar -- NOT IDENTICAL (that's so gore3000 cannot twist my words later) -- in all animals (it is) and that all animals possess this gene, even if they do not express it.
The answer is, no. It is thought that eye spots have been around for half a billion to a billion years. (The evidence from conserved homeobox genes says that the common ancestor of mammals and insects had a light detector.) But, photosynthesis is far older. We know this because of algae fossils, and from the idea that plants and bacteria would have inherited photosynthesis from a common ancestor. And besides, early life would have run out of organic molecules if it didn't learn to make its own with photosynthesis.Where Would an Eye Spot Have Come From?.
Maybe I was thinking of wings. Wings, for sure, have evolved more than once.
No. Recent molecular phylogenetics supports the multiple origin hypothesis. Note that each hypothesis, multiple or single-origin, comes with a difficulty. Either eyes evolved independently multiple times or else they were lost multiple times.
I showed you Euglena, an extanct bacterial like animal/plant with an eye. Kindly explain the descent to or from that eye - if you can!