Rahul Mehta Gandhinagar LsCandidate

Dear all,
.
Questions on twitter API
.
(1) Is it possible to write following PC based application -- which can obtain all tweets sent to @PmoIndia in say past 2 days? or past ALL days ? of past 5000 tweets? Pls note --- not all tweets made by @PmoIndia . But all tweets made by crores of users which have @PmoIndia text in those tweets. So number of such tweets can be in crores
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(2) Download profile of a given twitter handle, say @MehtaRahulC .