Answer: No. The apple variety is so new that you are not going to find a farm that will let you pick your own. Everyone that has them has a limited supply that is going fast. They also sell for a premium price, so farmers don't want people picking them. The Honeycrisp apple also sells for a premium price, and you it's hard to anyone that will let you pick your own and this apple has been available for quite a while now.
If you are looking to purchase already picked SweeTango, check out my list of places to buy them.