That's what happened with the Himalayas. The subcontinent of India plowed into Asia a few million years ago, and the Himalayan uplift resulted.
The global warming crowd tries to tie sealevels to climate. It's a scare tactic to make people think we will all drown if we drive suvs.
To believe that the measurement in this article are accurate one must believe that the rock in Port Arthur is the same distance from the center of the earth as it was in 1890, that because the sea is 16 centimeters higher in relation to the rock that the sea rose.
While most people believe that the ground we walk on is rock solid, the truth is it is nothing more than debris floating on a liquid core. GPS data shows that the Himalayas are still rising over an inch a year. But we don't have anything that could accurately measure the altitude of Port Arthur in 1890 to within 16 centimeters.
Climate does effect sea levels but erosion of the lands filling the seabeds with sediment probably increased sea levels more in the last century than melting glaciers. The big changes in sea level come from plate tectonics, the widening and narrowing and rising and lowering of the seabed has the greatest affect.
If the people of Fiji and the Solomon Islands check out what is happening along that fault line that is close to them, they may find something other than global warming could make them the next Atlantis.