Well, yes and no.

Let's look at the chart.

Now, Inklings in their human form are just a "1-Not a furry".

However in their Squid form they are either a "4-Very Furry" or a "5-Oh shit nigger what are you doing".

So, yeah, depending on the form they have in question, Inklings may or may not be furries.

Wait. Isn't there a unique term for squids in the furry community?

Inklings aren't furries though. They're stylized humans, with tentacle hair. Furries are humanoid animals with animal facial features. They aren't the same.