It's possible.
Lysander R9029 took off in 1940 from Tangmere to pick up agent 'Felix' from Fontainbleau in France. It ended up crashing 4 miles from Oban after running out of fuel in bad weather, although locals say it hit barrage balloon wires as well. That's more of an over run than from Biggin to the Borders
In this case, there was some mitigation though, as an enemy rifle round had shattered the compass in France and the pilot had to dead reckon navigate at night. The locals also say the pilot and agent were detained for several days as no one believed their story