No. Generally people don't stand in a helicopter but we say "I got in the helicopter".
This topic has been discussed before and we keep coming to the conclusion that there is no hard and fast rule about the preposition which goes with a particular form of transport.
I got in the car.
I got in the taxi.
I got in the helicopter.
I got in the lorry.
I got in the van.
I got in the kayak.
I got in the canoe.
I got on the train.
I got on the bus.
I got on the tram.
I got on the plane.
I got on the bike.
I got on the motorbike.
I got on the hovercraft.
I got on the boat.
I got on the ferry.
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