I say, with Allah's guidance: It is permissible for him to do so; because for the intention in tayammum to be valid, it must be for an intended act of worship that is not valid without purification, and the prostration of recitation is an intended act of worship that is not valid without purification. Refer to: Al-Durr Al-Mukhtar 1: 165, Radd Al-Muhtar 1: 165, and Al-Idah Q6/B, and Allah knows best.