Can bailiffs take my laptop or computer?

Yes

Bailiffs may take control of goods only of they belong to the debtor.^[1]

The computer may be exempt goods if it is necessary for use personally by the debtor in the debtor’s employment, business, trade, profession, study or education, except that in any case the aggregate value of the items or equipment to which this exemption is applied shall not exceed £1,350.^[2]

If bailiffs have taken your exempt computer, you can make a claim to exempt goods,^[3][4] and you may recover damages,^[5][6] and your costs.^[7][8][9]

^{[1] Paragraph 10 of Schedule 12 of the Tribunals, Courts and Enforcement Act 2007
[2] Regulation 4(1)(a) of the Taking Control of Goods Regulations 2013
[3] Civil Procedure Rule 85.8
[4] See Making a claim to exempt goods
[5] Section 3 of the Torts (Interference with Goods) Act 1977
[6] Paragraph 66 of Schedule 12 of the Tribunals, Courts and Enforcement Act 2007
[7] Civil Procedure Rule 44.3
[8] Civil Procedure Rule 46.5
[9] Practice Direction 46.5 Rule 3.1}