A wooden block was lowered into a vessel with water will the water pressure at the bottom of the vessel change?

Yes, the pressure will increase as the block presses against the surface of the water and this pressure is transmitted in all directions, as well as to the bottom of the vessel.
Let, at the initial moment of time, the water in the vessel filled a certain volume and thereby exerted some pressure on the bottom of the vessel. After the wooden block was immersed in the water, it slightly increased the water level in the vessel. We know that the pressure of water at the bottom of the vessel is directly proportional to its height of the column, since the water level after the immersion of the bar increased, then the pressure of water at the bottom of the vessel also increased.