So I am interested in getting a raspberry pi to activate a servo that will press a switch turning on the rackmount power strip that powers my computer, but I want to be able to do this by giving google home a voice command and having it work through ifttt, and then through another set of commands turn on my computer if possible. Are either of these possible to do with Home assistant?
Yes, all possible.
Google home can talk directly to home assistant, IFFTT is not needed. You can use it if you still want to but its not needed.
Does your computer support Wake on LAN? If so that is a great way to start a box up using HA. Other wise you could have the power on state start the computer by adjusting your BIOS settings