Yes. State and local governments are eligible to purchase from the GSA via Cooperative Purchasing and Disaster Recovery purchasing options for Schedule 70 IT.
State and local governments are defined as including:
"The States of the United States, counties, municipalities, cities, towns, townships, tribal governments, public authorities (including public or Indian housing agencies under the United States Housing Act of 1937), school districts, colleges, and other institutions of higher education, council of governments (incorporated or not), regional or interstate government entities, or any agency or instrumentality of the preceding entities (including any local educational agency or institution of higher education), and including legislative and judicial departments."