Dear Abhi,
As you will be well aware (!) proving a negative is often difficult. I can only say that:
There is no record, to my knowledge, of a book by F. Scott Fitzgerald, or by Sarat Chandra Chattopadhyay in the library at Bateman's (Kipling's home from 1902), or at Wimpole Hall (his daughter's home, to which some of his library was taken). I did try searches using the alternate spellings of the latter. (I was amused to see that you had copy/pasted the spelling yourself; so did I, initially.).
According to my notes, there are no mentions of a meeting with, or of correspondence with, F. Scott Fitzgerald.
You will know that there exists a copy of Kipling's Departmental Ditties with Fitzgerald's rather inaccurate transcription of The Way Through the Woods written into the back, in pencil, so the influence of our man is clear.
Then there is Kipling's The Story of the Gadsby's and Hemingway's hint that F.S.G. "swiped" titles. Personally, I feel that is no more or less likely than the use of a hotel name from Mark Twain's A Tramp Abroad.
For Tender is the Night, we can point up similarities with The Light that Failed; both are semi-autobiographical, covering lost love. The 'heroes' have similar names: Dick Diver and Dick Heldar. Indeed, Maisie, and Daisy from T.G.G. have many similarities... We could go on.
The answer has to be, I think, that you can point to Fitzgerald's own admission of Kipling's influence, but not suggest that they met or wrote.
For Chattopadhyay, I would welcome an indication of your reason for suspecting a connection.
I am sorry that I cannot be more positive.
John
John Walker,
Honorary Librarian,
The Kipling Society.