Can bailiffs take my home (not a mortgage repossession)?

No

Any goods that are also premises occupied by someone as their principal home are exempt from enforcement.^[1]

"goods" means property of any description, other than land.^[2]

^{[1] Regulation 5 of the Taking Control of Goods Regulations 2013
[2] Paragraph 3 of Schedule 12 to the Tribunals Courts and Enforcement Act 2007}