Perhaps. The fundamentals would be the same. Most real estate value is in the land, which is a more or less made up number - the actual buildings are worth a lot less, and can be rebuilt elsewhere. All our society’s technology would be the same, and while you’d have to demolish the buildings ahead of the rising water and reclaim the valuable materials (the copper and steel and so forth), you can just use the same technology to rebuild. As a side note, even near term partial factory self-replication makes this problem trivial from a physical perspective. What I mean by that mouthful is we have big factories, using this new machine learning tech, that need almost no human labor to make the most complex of products, including advanced factory robots. It’s an “almost” - some labor is required, and some of the factories in the supply chain would not be this automated.
Anyways, with such factories, the problem of rebuilding becomes easy. Design modular structures, made of parts these factories can make. Modular skyscrapes, modular single family homes, and everything in between. Each module is just small enough to fit on an 18 wheeler with the “wide load” flag. Since the factories need minimal labor, essentially their task is to take the reclaimed materials from the buildings that were demolished, ahead of rising water, and spew out new modules that replace the same structures. And since they don’t require much labor, and the software licenses are hopefully inexpensive and commonly available, and the robots themselves are cheap because they didn’t require much labor to make, this is cheap.
In such a world with easy, cheap manufacturing, other problems become tractable. Need enough solar panels and batteries on short notice to go to near 0 carbon emissions within 5 years? Just click the mouse a few times basically, and first build enough factories that can make solar panels/batteries to finish the whole job in 2-3 years, during an exponential growth phase, then run them for 2-3 years to get there. Then scrap the now unneeded factory equipment back to scrap metal and rebuild it as equipment making whatever is now in demand. Humans are still needed, just about 1/100 as many.
Ditto food production and freshwater production, assuming the new world map is unfavorable for this.
Anyways, that’s from a tech perspective. From a political perspective - well, I can see politicians failing to fund the development of this tech until it’s too late. I can see financial markets just failing completely, like you said, even though the ability to recover exists, the actual financial system can just fail and people will not be correctly motivated by economics to take the actions needed to recover. Post 1929 stock market crash, America’s fundamentals were all still there. There was plenty of land, plenty of natural resources, plenty of workers, plenty of technology (relative to the time). All it would have taken were the right set of instructions issued to the right people, and America could have been the world’s sole superpower by 1934 instead of needing a world war to push everyone in the right direction. (and bomb out America’s competitors)