Yes you can:
You may, as a business owner or operator, also make a claim.
* If you are a firm, then make a claim as a firm using its name, followed by the words 'a firm'. You would then list the address of the firm. Example: Lawpack Publishing, a firm, 76-89 Alscot Road, London, SE1.
* If you are a limited company, use its name designation 'limited company' and either its trading address or the address of its registered office. Example: Lawpack Publishing Limited, a limited company, 76-89 Alscot Road, London, SE1.
* If you are a person doing business under another name, use your own name followed by the words 'trading as', and the address of the business. Example: John Smith trading as Lawpack Publishing, 76-89 Alscot Road, London, SE1.
http://www.lawpack.co.uk/small_claims_faq.asp# 4996