Congratulations on your new purchase!

Yes, why not?
I would try out all three major uses for it, now that you have it.
Both used as a finisher, the Dilucot and the Unicot method.

I have been playing around with them for a while, and it has been a fun and educational experience.
The backing of your stone is most likely slate. Not usable for honing!
If the stone you have bought is a natural combo, that is with a Belgian Blue side, you can absolutely use that too.
Do you know what layer it is?

I know many people love their Coticules, but I feel I must tell you that there is a learning curve to it.
Especially the Dilucot method.
It's considered easier to learn to hone on a synthetic system like the Naniwas or similar.
But hey, now you have it, so try away, I'd say