Hi, Polarion
Welcome to the Microsoft community.
It seems that the mobile version of Edge currently does not have the same import and export functions as the PC version. Therefore, I recommend that you log into your Google account on your PC (using Chrome) to sync your data to Chrome. Then, log into your Microsoft account on Edge, import the data from Chrome into Edge, and finally log into your Microsoft account on the mobile version of Edge to sync the data.
What's imported to Microsoft Edge - Microsoft Support
Best regards
Tommy Jin | Microsoft Community Support Specialist