DO $$ DECLARE
    r RECORD;
BEGIN
    FOR r IN (SELECT tablename FROM pg_tables WHERE schemaname = current_schema()) LOOP
        EXECUTE 'DROP TABLE IF EXISTS ' || quote_ident(r.tablename) || ' CASCADE';
    END LOOP;
END $$;
This query will delete all available tables for current user and schema, without needs to have SCHEMA privileges.
The most popular solution via:
DROP SCHEMA public CASCADE;
CREATE SCHEMA public;
Often shows the error, because of missing owner permissions or other restrictions: