It's possible. The rings transition through all 3 lubrication regimes. They're in boundary lubrication at top dead center and bottom dead center, pass through mixed (elasto-hydrodynamic) lubrication up to ~20° crank rotation up to and away from TDC and BDC, and ride in hydrodynamic (full oil film) lubrication through the middle where piston speed is highest. The faster the piston speed, earlier the transition into hydrodynamic lubrication. The rings do not touch the cylinder wall in this regime, separated by an oil film that acts as the seal. Normally, the 2nd ring scrapes this oil film off with the oil ring regulating oil transport. If those rings are stuck, coked, or some other way weakened, they can allow too much oil between the rings and cylinder wall, which doesn't get scraped efficiently, leading to oil passing by to the chamber. In such a case, a thicker oil film could put more separation of the rings and walls, thus CAN allow more oil past them. It doesn't always work that way with variations in ring tension, cylinder bore, piston speed, etc... It's just one of those things you figure out by trail and error.
Using an oil high in polar ester, to clean up the polar organic deposits around the pistons and rings, can help improve ring seal. If this happens, you know it was stuck/coked rings. If it doesn't change it, the likely culprit is just worn out rings.