No, the Gītā promotes varṇāśrama-dharma, a system which is a natural social hierarchy based upon one’s inherant inclinations. Later in Indian history, varṇāśrama-dharma was corrupted by ambitious persons and became degraded into what is known today as the ‘caste-system.’ This has created inequality, discrimination, exploitation, prejudice etc. You can learn more about varṇāśrama in Bhagavad-gītā Chapter 4 – Jñāna Yoga (The Yoga of Knowledge) – Verse 13-15