No. Wynn Las Vegas does not operate an airport shuttle, although I’m positive that they would offer one if they could.
You will not find a single hotel on The Strip that offers an airport shuttle service from Harry Reid International Airport (LAS). This is due to local Las Vegas regulations.
A few private companies operate an airport shuttle bus to the Wynn Las Vegas. Do bear in mind that none of these shuttle buses will head directly from the airport to the Wynn.
The advantage of traveling with Bell trans is that they often have walk-ups available, which means you can walk right off your plane and head to their counter to grab a shuttle.
A one-way trip costs $16.25, and each passenger is allowed no more than two bags. For this service, you will want to book in advance on their website.
GO has a shared shuttle service from the airport to the Wynn Las Vegas starting at $15.08 (one way).