Absolutely not.
India is quite a multicultural society with hundreds of various creeds and lots of religions. There is a longstanding tradition of being tolerant to other religions.
Thousands of Israelis travel as tourists in India every year. I'm not aware of even a single case of religiously or ethically motivated harassment. Most of them probably don't wear kippas or otherwise look obviously Jewish, but I don't imagine it would be different if they did. To be honest, I think they'd be treated pretty much like other Westerners. (Respectfully.)
I personally know an old Russian Jewish man who visits India every year, and he always wears a special Jewish hat (I don't know exactly what it's called, but I know it's not a kippa). I'm not aware that being Jewish has been a problem for him even a single time.
If you're worried about it, you can avoid discussing religion and politics while you're in India. However, I think even this would mostly be fine. As long as one doesn't go around preaching or getting into theological arguments, it should be absolutely fine. I see India as a very religiously tolerant country.
Frankly, I'd be slightly more concerned if you were a Muslim (even though India has a large Muslim population), but even that would mostly be totally fine.
Source: Having lived and traveled in India for five years and met many Jewish tourists.