I wish that were true, but there are already uninhabited islands that have sunk below the waves [1]. There are inhabited ones (e.g. the Carteret islands) which are on their way out and already suffering:
"Since 1994, the islanders of the seven atolls, lying only 1.2 metres above sea level, have already lost about 50 per cent of their land. Traditional food sources have become scarce, regularly placing the islanders in situations of near famine. The communities also face severe water shortages due to prolonged droughts and sea-level rises that affect their freshwater supply." [2]
[1] https://www.newscientist.com/article/2146594-eight-low-lying...
[2] https://www.resilience.org/stories/2019-06-11/understanding-...