It's possible that some survived, but from a practical standpoint so many of these would have died from the initial aftermath of the extinction their survival may as well be measurement error relative to the impact. The collapse of terrestrial food webs would mean a rapid decrease in the large herbivore population, with the carnivores following due to lack of food. I've seen estimates suggesting that photosynthesis didn't start up again after the impact on the order of years. For reference, the eruption of Mount Tambora in 1815 which was a fraction of the magnitude of the impact and provided much less blockage out the sun for only a year caused widespread crop failures and famines. Not to mention North America seems to have suffered more from the impact than any other landmass. While new fossils could always prove us wrong, right now it seems like any survival of
Tyrannosaurus past the boundary was probably a blip.
There's an old sci-fi novel called Cretaceous Sea (2002, Will Hubbell) that I think has one of the best depictions of the K-Pg impact. It really helps the reader visualize just how desperate the situation was by letting us see it through the eyes of a set of human time travellers stranded by it. The impact itself wipes out most of the dinosaurs, with only a scattered few surviving. The big herbivores die off first due to lack of access to food. Tyrannosaurs survive a little bit longer due to access to all the carrion, but eventually they end up weakening and starving to death. Some small thescelosaurs also survive a bit, but they end up dying off as well. Eventually it's just the protagonists and a bunch of Troodon (with feathers!) feeding on hibernating mammals and scraps of carrion, and even the Troodon appear to be dying off. It's very clear the protagonists would have died there without the deus ex machina of godlike future Buddha babies getting involved.