Yes. The Alexa Top Sites web service provides programmatic access to Alexa’s top sites data.
Using this service you can get lists of top sites globally or in a specific country. The web service also returns the rank, reach, and pageviews per million data within a specific country.
To use the Alexa Top Sites service you will need to follow these Getting Started steps: https://aws.amazon.com/alexa-top-sites/getting-started/.
After you get started, we recommend reading the Technical documentation here: http://docs.aws.amazon.com/AlexaTopSites/latest/.
And then modifying one of the sample programs here to get the data you are interested in: https://aws.amazon.com/alexa-top-sites/getting-started/#ats_sample_code.