When an X-ray is incident on a material, it

X-rays are electromagnetic waves consisting of uncharged photons.

Photons carry energy $E = h\nu$ and momentum $p = \dfrac{h}{\lambda}$.

When X-rays are incident on a material, they can be absorbed or scattered, thereby transferring energy and momentum to the material.

The continuous transfer of momentum over time means that a force is exerted on the material, which manifests as radiation pressure.

Since X-ray photons are electrically neutral, they do not transfer any electric charge to the material.