The distance to Mars from Earth varies considerably depending on their orbits around the sun. 

In theory, the

closest Mars and Earthwould get is when Mars reaches its closest point to the sun (perihelion) and Earth is at its farthest (aphelion). This would bring the two planets within 33.9 million miles (54.6 million kilometers) of each other — but this has not yet happened in recorded history according to NASA(opens in new tab). 

The closest recorded distance to Mars from Earth was recorded in August 2003 when the two were 34.8 million miles (56 million km) apart. According to NASA, thre two will not be that close again until the year 2237. 

Someone controlling the Mars Rover from this distance makes it virtually impossible for the Mars Rover to not accidentally get stuck in deep crack or get hung up on a rock.

The mathematical statistics of the chances the Mars Rover being operated from earth and not getting stuck is 100% impossible.