If they were using rapiers from the 1950's yes![]()
*sigh*
The Rapier was only invented in 1960s. Entered service in '71. Has an operational range up to 6.8km, with an operational ceiling of 3km. That's not even far enough to reach the border of London.
The system must have sight of the target in order to track it. The Missile is remote guided, not self-guided.
https://en.wikipedia.org/wiki/Rapier_(missile)