Short answer: nope. forget it.
longer answer:
OK, so you can share (using CIFS or whatever) but you want dashboard access. Well the drobo dashboard for linux is ... drobo-utils.
So the drobo 5n is basically a drobo glued together with a droboshare. way back when Drobo.com was developing it, they passed me an evaluation
unit, and I *ported* drobo-utils to the droboshare. The droboshare is embedded linux on ARM. They were working on an App ecosystem at the time.
The only thing my *port* did was install python, so the normal drobo-utils could run (it runs fine on ARM, all it needs is Linux.)
I´ve also used it with a raspberry pi, for giggles.
I see there was a Python *app* advertised... If there is still such a thing, then that is 90% of the work I did for the original port.
If you can install the Python app, then you can clone the repository on a share there, and you should be able to invoke it using the app.
The other hoop that might have to be jumped is whether the apps run with admin access.
so there is path to investigate, but it may or may not work, and I expect that a beginning Linux user will have a really hard time. So I don´t recommend it.