No, pkg_resources
are for reading resources within a package. You can't use it to write log files, because it's the wrong place for log files. Your package directory should typically not be writeable by the user that loads the library. Also, your package may in fact be inside a ZIP-file.
You should instead store the logs in a log directory. Where to put that depends on a lot of things, the biggest issue is your operating system but also if it's system software or user software.