No, the reason QUIC exists is that TCP is ossified at the level of middle boxes on the internet. If it had been possible to modify TCP with just some changes in the Linux, BSD and Windows kernels, it would have been done.
""" A middlebox is a computer networking device that transforms, inspects, filters, and manipulates traffic for purposes other than packet forwarding. Examples of middleboxes include firewalls, network address translators (NATs), load balancers, and deep packet inspection (DPI) devices. """
Case in point: the whole TCP Fast Open drama.