Are Sufism and Baha'i the same?

No, they are different.

Sufism is an Islamic tradition of religious mysticism, beginning in the first centuries of Islam, while the Bahai Faith is a religion, founded in Iran in the 19th century. There are wikipedia pages for both of them.

Having said that, Sufism and Bahai mysticism, and Christian mysticism, and Jewish mysticism, have a lot in common. Mysticism is a "common place" where the religions meet, at least to some degree