Possibly. People can now buy the rights to sell domains like that, but it costs a fortune (six figure+ sums)—so it really depends on whether any big spenders out there think there's enough of a market for such domain extensions. From what I can tell, both the .app and .shop extensions have been applied for and are being considered for approval, so it looks like they may well be available at some point. There's no saying how much the companies vying for them will charge you to register such domains, though.
As I understand it, a company or organisation will apply for the rights to sell domains with a certain extension, like .app. If they secure those rights, they then start to sell domains with that extension. I don't know if there's any regulation of how much they are allowed to charge per year. .com domains are quite cheap, but you pay a lot more for some country codes like .io etc. The charges may be a lot higher again for privately owned extensions like .app.