I say, and with God's success: It is permissible for him to do that; because it is a condition for the validity of the intention in dry ablution (tayammum) that he intends a specific act of worship that is not valid except with purification, and the funeral prayer is a specific act of worship that is not valid except with purification. Refer to: Al-Durr Al-Mukhtar 1: 165, Al-Radd Al-Mukhtar 1: 165, and Al-Iydah Q6/B, and God knows best.