Not a problem at all. There are many forms of emotion of which I am not qualified to explore or explain here. Supervision may be required and most all gun clubs will happily have an experienced shooter assist you on the practice ranges. Many people who have spinal injuries do trapshoot with no discomfort from the norm. Certainly, trapshooting will not create a back injury and recoil reduction methods are available if recoil gives you any problems.
Partial blindness is.
Okay, so you miss a few targets. There are offset gun sights available to allow you to shoot with only one eye. Two is not required and quite a few pros shoot with the one-eye method yet they have full use of both eyes. The list is many to catalog here. If anyone knows, you will know if you can participate in the trapshooting sport.