Project to record voice sound

I am trying to lead a group of 6th graders in a project to use Arduino. I am very unfamiliar, but I want to make sure that what they want to do is even feasible using Arduino. They want to record someones voice using Arduino and have that sound sent via Arduino through a speaker. Is that even feasible?

It is feasible although not exactly straightforward. It requires some extra hardware as their is not very much read / write memory for more than about a quarter of a second of sound. Something like this might do https://www.amazon.com/SMAKNISD1760-Arduino-Recorder-Recording-Playback/dp/B00V81XEI0