No.
The whole point of government is to provide for a collective. It might start out as a mutual defense pact (for example), but that defense comes at a price; Usually, a clan chief who says 'I will protect you' is really saying one of two things;
1) My job is keeping you safe, so you all have to feed and clothe me and I'll get right on that, or
2) You all pay me a set amount of money, and I'll find people to fight on your behalf.
When you go to scale this up, only the second one makes sense. Above a certain size of either threat or area to protect, a single person, even a badass, can't protect against all comers. So, you pay someone who is entrusted with the spending of that money on an army.
That model of course works really well for other things as well. Soon you're setting up police, schools, hospitals, roads, courts and whatever other communal infrastructure is required by the populace but which is uneconomic for a single group to provide.
In the modern world of course, multinational companies are now even larger than a lot of the countries in which they operate, meaning that many of the roles that WERE the sole domain of government end up being 'privatised', or tendered out to large companies once the government has made the decision on what to do. But, we're getting off track.
The point is, that your species has no communal interest. They can't possibly have a communal interest and be solitary animals, as being solitary by definition precludes the use of communal assets wherever possible.
On Earth, most solitary animals are solitary due to a lack of resources to support more than one animal within a defensible territory. Extending this model to your species, coming together would only be for set reasons, like procreation. Even solitary animals come together to do this for obvious evolutionary requirements. I'd imagine that your species is much the same, albeit with a slightly larger set of concerns that might cause them to group together for a period of time.
In that sense, they have no need for mutual defense as they can look after themselves. They have no need for roads, they have no need for doctors, education, etc. They have no need of the rule of law as they prefer not to be working with each other unless necessary, meaning they need no courts, no rule, no government.
There is however a price for living this way. Your species is unlikely to gain any real technical proficiency. The reason I say this is that what has led to the huge rise in the human capability over the last 10,000 years or so is our ability to record knowledge and share it with each other and the next generation. Whether that be through cave paintings, hand written notes, the printed word, or the digital stores of the internet, the ability of humans to do great things is predicated on our ability to rapidly learn the lessons of those who came before and then build on that foundation, making it bigger and better for the next generation to learn quickly and build even more on it in their turn.
Your solitary animals don't do that. They are highly unlikely to learn to read or write for their own use, let alone for those in the next generation. As such, some basic lessons may be passed down in a child's early days about how to do certain things, but your ascent into technical and scientific proficiency, let alone anything of a more artistic bent, is likely to be swamped with the day to day efforts of survival.