Is the Sichuan Provincial Department of Transportation directly under the provincial level?

No. Sichuan Provincial Department of Transportation is a department of Sichuan Provincial Government.

Sichuan Local Taxation Bureau, Administration for Industry and Commerce, Quality Supervision Bureau, US Food and Drug Administration, State Administration of Press, Publication, Radio, Film and Television, Sports Bureau, Safety Supervision Bureau, Statistics Bureau, Office of Government Affairs, Poverty Alleviation and Immigration Bureau, Letters and Calls Bureau, Office of Science and Technology for National Defense, Legislative Affairs Office and Civil Air Defense Office are institutions directly under the provincial government.