Yes. The Prophet Muhammed s.a.s. was sinless.

Holy KORAN 33:33:

Meaning: **The Ahl-ul Bayt (household of the Prophet) is pure.**

Word by word: "O people of the House! Allah only wishes to keep away the sin from you and to cleanse you with a thorough cleansing."

What Allah wishes, is already done. For he has created everything perfect.