I suggest you first call shutil.copytree, and if an exception is thrown, then retry with shutil.copy.
import shutil, errno
def copyanything(src, dst):
try:
shutil.copytree(src, dst)
except OSError as exc: # python >2.5
if exc.errno in (errno.ENOTDIR, errno.EINVAL):
shutil.copy(src, dst)
else: raise