No, there are very stric planning rules in London. It’s not just about not touching listed properties (though a lot of the city is listed) but also there is a web of line of sights from different view points which are protected and results in an invisible ceiling to new constructions. Add to that a very lengthy planning process and locals hostile to the densification of the area despite the crumbling transportation system, and you get the current odd situation where most of the city is made of low rise, 2 floors high tiny houses converted into even tinier apartments, and a few spots where you have a massive concentration of some of the highest residential skyscrapers in Europe.