No, Gilgit-Baltistan is not part of India.
Gilgit-Baltistan is a region administered by Pakistan as an administrative territory. It forms the northern portion of the larger Kashmir region, which is the subject of a territorial dispute between India and Pakistan. While India claims Gilgit-Baltistan as part of its territory, it is currently under Pakistani administration.
To summarize, Gilgit-Baltistan's status is complex, being a disputed territory with Pakistan administering it. Therefore, the direct answer is no, it is not currently part of India.