No, it’s not a wordplay, it’s an expression which takes its origin in the way rabbits were killed in farms¹. It’s in fact a modus operandi, it consists of a quick but steady strike to the neck, killing swiftly and (supposedly) not too painfully/messily.

The other meaning, found in conversations way more often, belongs to car safety vocabulary. It’s an analogy to the previous sense, designating the danger of being injured, disabled, or even killed by a rear impact on seats without head restraints. As one can imagine, the blow pushes the body forward but inertia snaps the person’s neck, inducing mild neck pain to fractured vertebrae and permanent disabilities.

By the way, it seems that the “plot” of the cartoon is not really about any of this, but given that there’s a rabbit in it, the makers must have just opted for the first rabbit-related expression they could feel legit enough for a cartoon title. (Just my 2 cents here on this last idea, asking them would be better of course.)

(¹ traditionally, not in the modern farms, obviously)

The translation is “rabbit punch“.

As @RomainVALERI answered, it is a strong shock to the neck that breaks cervical vertebrae.

It gaves its name to a boxing cartoon featuring Bugs Bunny. The rabbit punch is illegal in boxing, MMA, and other combat sports that involve striking.

In french wikipedia article, it is explained that direct traumatism is “rabbit punch” while the indirect traumatism is “whiplash injury”. This explains your mistake.

As much as I can see your cartoon is linked to this expression seeing how much this poor rabbit is hurt.

I don’t know about the cartoon, but it can also be interpretted as cunning plan of the rabbit.
So it could be a playword if for instance, the rabbit is trying to suicide with a very clever plan (or you are trying to kill the rabbit).
As Romain Valeri said, the “coup du lapin” is well known when we talk about breaking neck on car accident.
On your cartoon, it looks like the rappid it trying to reach the carrot, but he is being disturbed by a well organised group of animals. It could be the “cunning plan about the rabbit”
I saw an other exemple here :

It looks like this is a book with many cartoons about a rabbit trying to suicide. It would so be a wordplay about the rabbit doing a clever plan and dying quickly.
We see more infos here. We see the original title is Return of the Bunny Suicides.
We also see many other way to suicide with very imaginative plans