Yes, there's an extent to which western foreign military policy plays into global refugee flows. Historically, a very enormous extent. But directly in this way? Only an extent.
Give global tyrants their due: plenty of them control, repress, torture, ethnically cleanse, bomb & gas their populations just fine alone.
Yes, Western powers chucked a few bombs in for good measure, but the brutal repression of popular insurrection against dictatorship is what refugees are fleeing.
History of subjugation & wealth extraction from the whole world is why we are rich & safe while instability & poverty is widespread in former colonies.
Mines in Congo still provide cobalt for our luxury tech where local wars & enslavement are fuelled by the need to control its export.