Yes — for a split second. A lightning channel can reach about 30,000 degrees, which is roughly five times hotter than the surface of the Sun at about 5,500 degrees. The word doing all the work in that sentence is "surface."
A lightning bolt is an enormous electrical discharge. When all that current rams through a narrow channel of air, the air heats so fast it turns into plasma — the same state of matter the Sun is made of. That superheated channel is also what makes thunder: the air around the bolt explodes outward faster than the speed of sound, and the shock wave is the boom you hear.
Because it barely lasts. The channel reaches that temperature for microseconds — millionths of a second. There simply isn't time for much heat to spread into anything else, so the total energy delivered to any one spot stays small. It's the difference between touching a spark and holding your hand in an oven: temperature and total heat are not the same thing.
Say "surface" every time. The Sun's surface is actually its coolest layer — underneath it, the core burns at around 15 million degrees, which dwarfs lightning completely. The fact is still wild without exaggerating it: for an instant, the sky over your house can be hotter than the visible face of a star.
See the 20-second version: "Lightning Is Hotter Than the Surface of the Sun — Things You Didn't Know" on LOE PRESSURE.
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Sources: DiscoverWildScience, "Is Lightning Really Hotter Than the Sun?" — https://discoverwildscience.com/is-lightning-really-hotter-than-the-sun-lets-investigate-3-343402/ — plus standard reference values for the Sun's surface (~5,500°C) and core (~15 million °C) temperatures.