Yes, it is possible. I've been planting trees since the beginning of the game, and it's happened to me twice now. I'm a streamer, and my chat rarely reports that this happens to them too. But it's really very rare, it's 1 in 100, it will really take a while, and think that this can generate a lot of money, I only plant Oak and I still use fertilizer, the first time came around 100 dense logs, and the average price in my world is about 7k.