Google Chrome is working on a feature that will essentially allow users to drag and drop tabs from any browser that supports tabs. A Chrome flag has been added in the latest version of Chrome Canary to test the functionality of the feature.
chrome://flags/#mix-browser-type-tabs
However, it is worth noting that there is no assurance if this feature would ever make it to the stable builds of Chrome as Chrome Canary is considered to be the experimental browser where features get added for testing the functionality and feasibility. A lot of shortlisting happens and stability checks should be cleared for a feature to be added in the stable builds of Google Chrome.