Can bailiffs still take my car if I put wheel clamps on all four wheels?

Yes

Provided the wheel clamps belong to the debtor,^[1] otherwise, the owner of the wheel clamps can make a third-party claim.^[2][3][4]

When a bailiff removes a vehicle with the wheel clamps attached, the bailiff may not damage or break the wheel clamps,^[5] and he is liable for the care of controlled goods.^[6][7]

There are easier ways to protect your vehicle from bailiffs than clamping it yourself.^[8]

^{[1] Paragraph 10 of Schedule 12 of the Tribunals, Courts and Enforcement Act 2007
[2] Regulation 48 of the Taking Control of Goods Regulations 2013
[3] Civil Procedure Rule 85.4
[4] See Making a third party claim to controlled goods
[5] Section 1 of the Criminal Damage Act 1971
[6] Paragraph 35 of Schedule 12 of the Tribunals, Courts and Enforcement Act 2007
[7] Regulation 34 of the Taking Control of Goods Regulations 2013
[8]See How to Protect your car from bailiffs}