making a proxy for my chromebook

is there a way for me to make a proxy that I connect to on my chromebook but runs somewhere else (like at my house) in order to unblock websites at my school?

Without knowing more details about your school network, there's no way a recommendation can be made that will always work.
You can try Shadowsocks: https://shadowsocks.org/en/index.html
Or an OpenVPN connection going through obfsproxy on an unrestricted port like 443/80/53