Used to be the case
Used to be the case when you had to have a license for a dog (I think).

Not the case anymore to my knowledge.

[edit] The Road Traffic Act 1988

It is an offence to have a dog on a designated road without it being held on a lead. Local authorities may have similar bye-laws covering public areas. Dogs travelling in vehicles should not be a nuisance or in any way distract the driver during a journey.

If a dog is injured in a car accident, the driver must stop and give their details to the person in charge of the dog. If there is no person in charge of the dog, the incident must be reported to the police within 24 hours.
[/edit]
(b3tamax Mate, you're fat and I'll throw you in the river, Tue 2 Jun 2009, 18:32, 2 replies, latest was 17 years ago)

Ah
cheers for the confirmation. I can now run stray dogs over with impunity.

I'm joshing, obviously
( Davros' Granddad a voice of calm reason in a world of spastics., Tue 2 Jun 2009, 18:34, Reply)

So.
Actually you are still legally required to report a vehicle/dog incident.

I had to memorise the 1988 Road Traffic Act for my first CPC so I was fairly sure you did.
( The Disappointed Caravanner of the year, Tue 2 Jun 2009, 18:43, Reply)