There's nothing about schizophrenia that conflicts with psi in a truly fundamental sense, since schizophrenia is fundamentally a disease of the brain and psi is fundamentally an ability of the soul. However there is a very severe problem that active schizophrenia makes it almost impossible to practice psi.
I didn't get adequate knowledge or training from the ages of 12-15. I should have been on pediatric bipolar meds at 12. I didn't get those either. My illness was not treated properly until 2012. I have been mostly stable these four years. I have an abundance of psychic ability. There is a list. You might say I have physical mediumship if you take my telekinesis/psychokinesis into account.
And without practice, psi is generally of very little utility or impact. This severe difficulty in practice happens because the inability to correctly assess what is real disrupts the essential feedback process in psi practice. You have to actually know when you are successful to make forward progress. This appears to be such a severe problem that at present I do not recommend anyone with active schizophrenia attempt to practice psi. It is likely to just cause more confusion.
I can now control my psi because of consistent medication taking. My brain was previously disorderly but right now I'm getting A papers in every Greyschol class I'm taking. I have not failed a single paper. This means I'm writing coherently and getting decent grades.
If with medication (or future medications not yet developed) one is able to get schizophrenia completely or mostly under control, then practice of psi might be a reasonable and interesting pursuit. But I would advise against it while symptoms are still active.
My schizophrenia, bipolar, and OCD are all in total control with my meds. I'm pretty much well-treated. It is up to me to make money and get my Free Soul self-paced classes going. I need to blow $29.95 apparently. If I make money, I can so do that. Thanks!