Can bailiffs take my car for a debt taken out at my previous address by the owner of the house?

No

You can apply to the court to stay the enforcement of the writ of control and set aside the judgment.^[1]

If the bailiff has already taken your car, you may apply for interlocutory relief,^[2] and recover damages.^[3]

^{[1] See: Apply to stay the writ and set aside the judgment
[2] Section 3 of the Torts (Interference with Goods) Act 1977
[3] Section 3 of the Torts (Interference with Goods) Act 1977}