If I had enough money...?

No, and no.

Toyota wont, they no longer have the tooling and machinery to make that model.

But there are any number of auto shops that can restore your vehicle to "as new" if you give them enough money. How do you think people get showroom condition cars from the 60 and 70s?

But by "enough money" I mean, more than it would cost to just go and buy a new Toyota 86

No because they no longer have the specific tooling originally required to build one.

They might put a couple parts in depending on how old the car is (If it's too old they won't) but no the dealership will not restore an entire car especially build one for you. They usually dont carry parts under a certain year which is why you buy them online.

Hmm! Money talks!

Unlikely that Toyota would do it (they would be more interested in selling you a new car), but there are hundreds of Toyota-oriented workshops that could repair or rebuild any Celica you found in a junkyard or used car dealer.