Do Polar Orbiting Satellites every crash into Geostationary Satellites?

Not that I know of. Satellites in polar orbit will be at a variety of orbital heights, typically thousands of kilometres below geostationary satellites. Deliberately putting a satellite in an orbit that crosses the geostationary ring would be strongly frowned upon and I wouldn't be surprised if there are legal issues because frankly, it's plain reckless. If you want a synchronous polar or highly-inclined orbit, you can give it some eccentricity so that it always passes above or below the geostationary ring.

No, they don't. For one thing, they are at very different altitudes. For another, there has only ever been four accidental collisions between artificial satellites (Not counting docking accidents).

The 1996 collision between the French Cerise military reconnaissance satellite and debris from an Ariane rocket.

The 10 February 2009 collision between the Iridium 33 communications satellite and the derelict Russian Kosmos 2251 spacecraft, which resulted in the destruction of both satellites.

The 22 January 2013 collision between debris from Fungyun FY-1C satellite and the Russian BLITS nano-satellite.

The 22 May 2013 collision between two CubeSats, Ecuador's NEE-01 Pegaso and Argentina's CubeBug-1, and the particles of a debris cloud around a Tsyklon-3 upper stage (SCN 15890) left over from the launch of Kosmos 1666.

NO.

Ploar Orbiting Satellites are at a lower altitude.

so far there has been a single impact of a satellite into a satellite - military experiment and a very stupid idea.

This IS rocket science and the engineers ensure no two orbits coincide unless it is intended.

No, for much the same reason that birds in your back yard do not collide with an airliner flying over so high that you can hardly hear it.