Is high and low tides the exact same height everywhere on the planet?

No. The tides are a result of the gravitational pull of the moon as it rotates around the Earth. This rotation takes place over a period of 24 hours and 50 minutes. The Earth's rotation takes 24 hours and 0 minutes. Therefore, the two are not synchronized and the tide change will be different each time. In addition, some tidal locations are affected by where they are located and water flow, a good example is tidewater in a large river.