Is it possible that I am schizophrenic?

Of course. Knowing nothing about you, it's impossible to rule out anything that humans can be. But, if the concerns are quite new - you may be suffering from something else since you are just a bit older than most people who begin to display schizophrenia. If you set up an evaluation with a competent clinical psychologist, they should be able to close-in on an accurate diagnosis. That should lead to good tx.