Possibly, the Imjin War was very expensive for the Ming and contributed to their financial woes. The damage to Korea economically and in terms of physical damage should also be taken into account. A stronger and wealthier Joseon will effect the regional dynamics, and have effects on what the Manchus are up to. They might concentrate on raiding Korea rather than trying to crack a tougher Ming nut, which might see a later Ming intervention to offer succor to the Joseon against a growing Manchu threat. This could have rather similar effects to the Imjin war in terms of Chinese finance, and could see the same sort of internal problems arise to topple the dynasty. That would probably be a native Chinese dynasty, though.
One thing to take into account is what the Japanese are going in the meantime. If Hideyoshi's power collapses, and another generation of warfare keeps Japan busy, then when someone does manage to unify the country they're going to have the same issues with large numbers of men in arms with nothing to do. That might encourage a bid for Asian supremacy by Japan a generation later. A generation of warfare plus European trade might also mean the Japanese are even better armed. A weakened and rebellion-prone Ming, an expansionist Japan, a slightly less damaged Korea, weakened Manchus and possible Mongol wildcards might lead to some interesting times in the early-to-mid 17th century.