No. The starting point for computing Virginia income tax is Federal Adjusted Gross Income, you may not make any modification of the amounts on your federal return prior to bringing that information into the Virginia return.
However, Virginia does provide a credit for taxes paid to other states, mitigating the effect of income being taxed in multiple states.
I am mildly concerned about the phrasing of your question. You begin by referring to a distribution received by your husband, and then ask about its effect on "my Virginia State tax." My answer only holds if your and your husband are filing jointly in Virginia. If you file separately, his retirement distribution will have no impact on your Virginia tax return.
