Yes. A foreign citizen is currently able to extend their visa and stay (be registered) in the Russian Federation by presenting a certificate of submission of documents. However, it should be noted that while the process of extending your stay (registration) is clear, the extension of your visa requires special attention:
— a visa is only required to cross the border. Thus, if you plan to stay in the Russian Federation without leaving the country during the entire time your documents are being considered, you do not need to extend your visa.
— there is a certain legislative conflict, so the type and category of visa do not change when it is extended. For example, if you are staying in the Russian Federation on a business visa, you will still be considered on a business visit, even though this may not correspond to the purpose of your stay.