Sure. They'd intercept to make sure there was no actual incursion and that he wasn't fixing to launch Kitchens all hell over the place. After that, they'd wave, chit-chat, take some pictures, and send him on his way. This sort of thing really does happen all the time.
There are also Typhoons and Delta IVs off of both coasts as well. They're also occasionally intercepted (much, much harder to detect a boomer). They try to avoid US attack boats, and the LA skippers try to stalk them. It's basically a respectful game of cat and mouse that they both use as practical exercise. The only harm that actually comes of it are the occasional collisions that pop up from submarine tactics.