No, tree stumps do not form in the sea. A stump is the remnant of a felled or broken tree trunk, rooted in soil. Trees require terrestrial conditions—firm substrate for root anchorage, access to atmospheric oxygen and carbon dioxide, and freshwater uptake. The ocean's high salinity, lack of soil, hydrostatic pressure, and absence of light at depth make it impossible for trees (and thus stumps) to exist there.
What might be confused with stumps?
True tree stumps are exclusively a terrestrial (or freshwater wetland) phenomenon.