The easiest and most straight forward way to do this would be using the Twitter API to connect and pull data. For this you can either do it via he browser with JS or as a "cron job" on the HANA server or some other server that then sends a update/insert call with XSJS to your HANA system.
Great starting point for that would be https://dev.twitter.com/and Documentation | Twitter Developers
On the HANA side you would of course need to create a table within your SCHEMA to hold the data.
So for example if I go to https://dev.twitter.com/console and use the "search" api to pull a request for "saphana" using OAuth (or Basic) and the result set I can then parse in whatever language to then do my insert into HANA.
Really depends on whether you want this running in the background, what type of data you are pulling and of course the API limitations of Twitter itself.