No. e.g. BSD is considered Free Software despite no such requirements. Free Software is software that the user controls instead of controlling the user. If you publish code with no stipulations at all, it is Free Software. It is only when you place requirements on the user that it might become unfree. In fact there are plenty of Free Software licenses that are incompatible with the GPL.
https://www.gnu.org/licenses/license-list.en.html