Telecoms standards are slow to be defined and slow to be adopted. There would need to be a standard defined for this but there would also need to be an incentive ($$$) to implement it.
In today's mobile networks P2P (person to person) SMS is decreasing due to Whatsapp, iMessage, etc. and A2P (application to person) SMS is increasing. In the future it is suspected that majority of SMS will be A2P. A2P has more value (e.g. Facebook wanting to deliver a two factor auth code to you) so it makes sense that operators are currently focusing on monetising this.
Also, a lot of countries block Over The Top (OTT) messaging (i.e. iMessage, Whatsapp, etc.) so for some countries (and businesses) SMS is still the most reliable text delivery format.