Not without some supernatural oomph from a class feature I can't think of off top of my head. I'm talking about human, no magic, no barbarian supernatural abilities, no monk chi.I mean, how tall is tall? I get the feeling you guys are talking skyscrapers, but FWIW a 7' tall PC in 5e with the right build could grab the ledge of a 42'6" roof, no magic involved.
With a running start, someone with a 20 strength can high jump 8 ft (str mod +3). They can reach something 1 1/2 their height.
The exact numbers are always a bit questionable because they're simplifications, but it's not out of the ballpark.