We would like to include the possibility for anyone calling a specific number to be able to speak the name of the person they would like to get transferred to.

Is it possible to setup a "dial by name" task in architect?

Yes, we refer to that as using the company directory.

It's under Settings -> Speech Recognition -> Company Directory

https://help.mypurecloud.com/articles/enable-company-directory-support-menus/

Thank you, Melissa. I was able to review those settings and it is now working. Much appreciated!