Yes, however, we strongly recommend exercising caution and careful consideration.
Each storage platform has varying permission structures and therefore they cannot always map one to one. For example, Dropbox has complex permission structures, whereas Google is very flat and simple, which affects permissions mapping.
Therefore, our general recommendation is to "lift and shift" your data (without retaining permissions) and apply a fresh set of permissions to it post-transfer using the management tools in your destination platform.
IMPORTANT - Transferring permissions will increase the transfer time. Please consider this carefully, especially if you need your transfers to complete as fast as possible.