Everyone wants to get the batteries approved, but to save the confusion here's the relevant reasons why individual's can't submit them...
"It is recommended that batteries submitted for approval should originate from the original cell manufacturer or the OEM supplier whose name or trade-mark is depicted on the battery label/heat shrink."
9. Approval does not engage the BRCA towards any guarantees or responsibilities. The submitter will defend, indemnify and hold the BRCA harmless from and against any and all liabilities, damages, losses, claims, fines, penalties, assessments, demands, actions, suits and judgments, including all fees, costs and expenses incidental thereto, that may be charged to, asserted against or incurred by the BRCA by reason of any loss, damage or injury of any kind or nature whatsoever in any manner or to any extent resulting from or arising out of the articles or services approved by the BRCA for use during BRCA events except to the extent resulting solely and directly from the BRCA’s gross negligence or wilful misconduct.
10. The BRCA require that a copy of this document is returned when batteries are submitted, signed by an authorised representative of the manufacturer (or OEM supplier) showing agreement to the procedures and rules detailed. (Disclaimer on page 3)."
If, as an individual, you can register a UK company and take on the necessary risks then you could do it. Otherwise, it will need a company already set up with public and product liability insurance, and on some way 'related' to the cells being approved, to be able to cover the requirements. HTH