Can bailiffs take my car?

Yes

Bailiffs may take control of goods only if they are goods of the debtor.^[1]

If the car is leased, or on hire purchase, the bailiff may not take control it,^[2] and if they clamp your leased or hire-purchase car, you may apply for an injunction,^[3][4] and recover damages,^[5] and costs.^[6][7]

If your car is taken for a debt owned by somebody else, then make a third-party claim.^[8][9]

If the car is parked on land that is not a highway or where the debtor usually lives or carried on a trade or business, including a numbered parking bay, the debtor may apply for an injunction to recover the car.^[10]

^{[1] Paragraph 10 of Schedule 12 of the Tribunals, Courts and Enforcement Act 2007
[2] See Bailiff clamped or towed your hire purchase car
[3] Section 4 of the Torts (Interference with Goods) Act 1977
[4] Paragraph 66 of Schedule 12 of the Tribunals, Courts and Enforcement Act 2007
[5] Section 3 of the Torts (Interference with Goods) Act 1977
[6] Civil Procedure Rule 46.5
[7] Practice Direction 46.5 Rule 3.1
[8] Civil Procedure Rule 85.4
[9] See Bailiffs took your car or goods for someone else's debt
[10] See Bailiffs take a car from private land the debtor does not live or trade}