In basic terms, to explore the possibility of Autism, a person must meet the criteria of the "Dyad of Impairments": Challenges in social interaction (including communication), and a pattern of restricted behaviours and interests. Within Autism there is a spectrum, rather than a scale. A scale suggest a "more or less" linear pattern, where in reality it is like a wheel or pie chart of challenges, triggers etc. How each autistic person reacts to a trigger, challenge etc can vary by person, and in the person by day or even hour. It can depend on physical factors and environmental factors.Autism is measured on a scale, so the answer to your questions is yes you can have some autistic traits and not others.
There was previously a notion of "mild autism" (In fact it's not mild for the person, its mild for those around them because the person is working so hard to mask it)
Aspergers was subsumed into ASD or Autism Spectrum Disorder in DSM V.