The reason he uses a bench power supply is because, with it, he can set the charge voltage and limit the charge current. If your units can do both of these things, then yes!
To be more specific, you need to be able to set the voltage at 3.65V (for LiFePO4) with a 1C current limit. The power supply will then deliver a 1C charge current until it reaches 3.65V, the current will then drop whilst maintaining 3.65V (NB for LiFePO4 batteries, this will happen quite quickly). This is called a CC/CV charging profile.