Yes. National Indicator 192—Percentage of household waste sent for reuse, recycling and composting—does include materials collected from street recycling bins. Full definitions of the National Indicator set are set out in the “National Indicators for Local Authorities and Local Authority Partnerships: Handbook of Definitions”, available on the CLG website at:
http://www.communities.gov.uk/publications/localgovernment/finalnationalindicators