No, your State Pension is generally based on your National Insurance record, not whether you live in London or elsewhere in the UK. The amount you may receive depends on factors such as your qualifying years and whether you have gaps in your record. London’s higher living costs do not automatically increase State Pension, but you may be able to claim Pension Credit, Housing Benefit or Council Tax Support depending on your circumstances. Check your forecast and eligibility through the official GOV.UK services.