No.
Yes, that what I have heard too.
I have a few potted plants (Bougainvillea) with ink cap mushrooms that sprout from them regularly, but this is accidental.
Try starting with growing other mushrooms first - We grow Lion's mane and oysters a few times a year from spore syringes I've bought from reddit and etsy sellers. I've seen them stock truffle spores, too.
Start with something easy to grow and work your way to truffles.
You'll start by sterilizing the growth medium and introducing the mushroom spores to the sterile material. Keeping other mold and fungi from populating the fertile growth medium is a struggle, but typically, the spores you inoculated with will win out.
Now, working with a live tree adds another layer of complexity since you can't exactly sterilize a live tree root system.
The easiest route would be to source a seedling from the foot of a truffle-bearing tree.
The other option is if truffle mycelia will grow (but not fruit?) without a tree - Then you can sterilize a large amount of soil, innoculate with truffle spores, and let the truffle mycelia take over, then introduce the tree to this soil. Hopefully, the already-established mycelia can fight off the mold and rando fungi the tree's soil introduces.