As a geologist & studied climate change not so long ago, yes but there are also other factors.
London & the south east is tectonically subsiding & therefore going underwater, but quite slowly.
The ice melting is rising sea levels but so is the pollutants in the atmosphere effecting weather patterns etc.
Also coastlines erode & rivers change courses & flood, Britain has built on flood plains which do flood, not every year, not every decade but do flood.