Yes, see https://developers.google.com/+/api/oauth#apikey which talks about using an API Key instead of using a user login.
Quoting that page:
For Google+ API calls that do not need to identify a particular user, you can use your application API key. This is useful for server-side applications, or web applications that do not require the user to sign in with Google.
[...]
After you have an API key, your application can append the query parameter
key=yourAPIKey
to all request URLs. The API key is safe for embedding in URLs; it doesn't need any encoding.
You can get the API key via the new Developers Console by going to http://console.developers.google.com/ and selecting your project, then clicking on the APIs & auth
tab on the left and then Credentials
. There should be a section on the right Public API Access with a button to press to create a new key if one doesn't already exist.