Can bailiffs refuse a payment plan?

Yes

There is no requirement for bailiffs to make a controlled goods agreement.^[1]

Debtors must not be pressed to make unrealistic offers and should be asked to consider carefully any offer they voluntarily make and where possible refer to free debt advice.^[2]

Bailiffs do not earn any extra money making repeated visits to collect payments.^[3][4]

^{[1] Regulation 13(1)(d) of Schedule 12 of the Tribunals, Courts and Enforcement Act 2007
[2] Paragraph 24 of the Taking Control of Goods: National Standards, April 2014
[3] Regulation 5 of the Taking Control of Goods (Fees) Regulations 2014
[4] Regulation 6 of the Taking Control of Goods (Fees) Regulations 2014}