Yes. No one wins a tournament without a little luck. I don't care who you are or how good you are at MTTs, luck is always involved. Now, I'm a big believer that skill > luck in MTTs, but no one ever wins with skill alone.
The only reason variance is higher in MTTs vs cash/sngs is because find ourselves in much different situations while in MTTs.
You'll never have to open jam 10 BBs in MP with 99 in a cash game because you can always top off and don't need to worry about rising blinds and antes. Yes, you can find yourself in a similar situations with SNGs, but the difference between the both is the length of time invested into each game. With MTTs, you can easily invest 4-5+ hours multitabling MTTs and still have nothing to show. You can likely play 3-4x as many SNGs (multitabling).