no - if, for example your state pension was �4000 a year, then the amount of your personal allowances available to be set against your occupational pension would simply be reduced by �4000. In the current tax year, a person aged 65 - 74 can earn �7550 without paying tax, so if your occupational pension was �3550 or less, then no tax would be deducted. Anything above that amount would be taxed at the 10% band, then the 22% band and so on.
Occupational pensions are treated like any other earned income for tax purposes in this particular respect.