Yes.

an interface allows you to record, given you have enough pre amps to go with those inputs.

an amplifier just sends power to your headphones or w/e. and in that case, the interface does that as well.

I am unsure of the sonic properties of an amplifier, but it seems that it might be colored given certain features and components of the amp itself (ie, if it has eq or w/e).

Get an interface dude, unless you just want to be an audiophile.