It is possible for a Na'vi to ride a wild Thanator, but the odds of surviving the attempt are low. There is a Queue on Thanators, but it is not easily discernable (hidden, perhaps, beneath their head plates where their sensory quills are). Thanators do not willing allow themselves to be ridden, but can choose a rider. Generally speaking, this requires one to be in tune with Pandora and a worthy ally. Riding a Thanator first requires an Animal Handling check DC 15 by the prospective Na'vi, which will help determine if the Thanator will even consider the rider as worthy. Then the Na'vi must make a successful Intimidation check against the Thanator -- this doesn't represent actually intimidating the Thanator, but instead earning its respect for one's ferocity. If both rolls succeed, then and only then will the Thanator allow itself to be ridden.
Huge beast, unaligned<hr/>
Armor Class 13 (natural armor)
Hit Points 95 (10d12 + 30)
STR | DEX | CON | INT | WIS | CHA
18 (+4) | 15 (+2) | 16 (+3) | 6 (-2) | 12 (+1) | 8 (-1)
Keen Smell. The thanator has advantage on Wisdom (Perception) checks that rely on smell.
Pounce. If the thanator moves at least 20 feet straight toward a creature and then hits it with a claw attack on the same turn, that target must succeed on a DC 16 Strength saving throw or be knocked prone. If the target is prone, the thanator can make one bite attack against it as a bonus action.
The Thanator makes four melee attacks: three with its claws and one with its bite, or three with its claws and one with its tail.
Thanator picture source: http://xenothere.deviantart.com/art/Thanator-Palulukan-148260113
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