tl;dr - No.

Medieval lords had nothing to gain and a lot to lose from a smaller peasant population. They were not responsible for feeding and sheltering their serfs. They did collect taxes from them, and likewise many serfs also owed their lord a certain number of days of direct service (fixing up the castle or something) per year.

The best comparison I can think of is the situation after the Black Death of 1346-1351. The population of Europe dropped so dramatically that labor was at a premium. Wages skyrocketed between 1350 and 1400. And when lords tried to push back, most famously in England circa 1381, the result could be massive, violent peasant revolt.