Yes you can!
If you have purchased an item within the last 3 months in one of our stores whilst in the UK, but live outside of the EU, you are entitled to a refund of VAT. You can ask for a VAT Refund Form from any New Look store which you will need to hand into the UK Airport VAT office to disclose this alongside your receipt, and receive the refund before you exit the UK.
You are unable to make a claim for VAT if you have left the UK and do not intend to return within 3 months of the purchase date.