No.. Unless you do significant surgery.
The reason is that Homebrew strongly insists on installing packages into
/usr/local. In fact, even if you forced it to install somewhere else, you are likely to break dependencies when you use
brew install to install packages. Most if not all of these packages are pre-compiled and linked expecting to live in
The reason for this insistence is that
/usr/local is precisely where POSIX recommends that stuff like this gets installed. In order to create
/usr/local Homebrew needs temporary admin credentials to create the directory and assign ownership.
This, in turn, is what allows you to install anything else without elevating credentials.