No. I suspect that some people confuse radiation with radioactive. Light and heat radiates, and so does radioactive matter, but there is some kind of truth behind it as far as I understand. We live in a soup of electromagnetic fields. All electric equipment and cables create a magnetic field, which radiates to different degrees. They electromagnetic radiation comprises: radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays.
Someone might correct me on this, but as I understand it, the x- and gamma rays are so minuscule that they are insignificant at the levels of current as in your home, and won’t reach further than maybe just outside these weak fields, and certainly not into your body.
I believe though that sitting for many hours a day, fixating your eyes and lenses on something that is at a static distance from you – like the screen – , is unhealthy for them. All muscles and tissue need to contract and stretch regularly.