License question. Can one person (with the same steinberg account) purchase multiple copies of Dorico?

One of my uni teachers asked me if there would be a way for him to purchase (let’s say) 5 copies of Dorico for his students (with the pertinent education discount).

And in that case, would it be problematic in any for us the students to license (either by software or dongle) each of our copies in our own computers, since he would be the one who made the purchase? Would we have to do it using his personal account?

Yes, one person can license multiple copies under the Steinberg system with same Steinberg account. I manage two licenses (one USB and one soft) from my account now. Your teacher might want to contact their distributor to see if there is break on multiple ed licenses.