Are the pacific ocean and the Atlantic ocean the same height?

Sea level is about 20cm higher on the Pacific than the Atlantic. This is due to the water being less dense (less salty) on average on the Pacific side, and due to the prevailing weather and ocean conditions.

At the isthmus that is known as Panama, however, we need to take into account the phase of the tides, as they are opposite to each other, i.e., when it's high tide on the Atlantic end of the Panama Canal, it's low tide on the Pacific end of the canal, and vice versa - one of the reason why "locks" are needed there. Such sea level differences are common across many short sections of land dividing ocean basins.