Yes.
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Trapinch and Diglett/Dugtrio are the ones who have it however keep in mind that the Arena Trap ability does not work against flying-types and Pokémon with the Levitate ability.
well did you have it out in battle? if not it has to be out in battle with latios for arena trap to work. if you did have you trapinch out, then... either arena trap didn't work( witch would be weird) or i don't know. another Pokemon would be wynaut or wabuffet. it has the ability shadow tag and that keeps the Pokemon from escaping. i hope you catch the latios! :) -RR14
You need the Pokemon with arena trap in battle or the wild Pokemon can flee
Latios is still capable of running away even while a Trapinch with its Arena Trap is in the battle because Latios' ability is Levitate which allows it to avoid the effects of Arena Trap since Levitate Pokémon and Flying-type Pokémon cannot be blocked from escaping via the Arena Trap ability.
You don't actually select when to use a hidden ability. Say your opponent tried to run from battle or tried to switch pokemon, the Arena Trap hidden ability would stop them automatically. (If you opponent is a flying type of has the hidden ability "Levitate" then the Arena Trap ability wouldn't work, but it works for all other type and abilities).