Hi
No. Please have a look at Article 14 of the UK / USA tax treaty (
Uk/USA Double Taxation Agreement - 2002).
It advises that certain sources of employment income are taxable only in the UK, where the work was carried out while not resident in the USA.
If your employment income meets this criteria, then it is not taxable in the USA and you should claim the tax back from the IRS. As the income is not taxable in the USA, no tax relief is available in the UK, when declaring it in your tax return. Federal and State taxes are not income taxes, so do not qualify for UK tax relief.
You will need to investigate whether as a non resident of the USA, whether you can claim the Fderal and State taxes back.
Thank you