I do not know such route. I doubt there is a direct route (so a single ship) which will do it.
For cruise lines: at beginning and end of season there are repositioning cruises: on northern summer there are many more European, Alaskan cruises. On the northern winter many ships go on warmer seas. These cruises are usually cheap, because they are also not real cruises (a lot of sea days, and not on ideal weather: October/November or March/April). Kochi and Mumbai (do not use airport codes) have winter cruises, so it may be possible to go on other continents on early spring, but as far I know, they will go to Mediterranean/Europe. If you are lucky it may stop in "London", where you can take the liner which regularly go from UK to US.
Or you should check a cruise that go to Eastern Asia (e.g. Singapore, Hong Kong, Tokyo) and from there an repositioning cruises to Alaska or California. (But from there: take bus or train).
Feasible, but it will take a lot of time (and money). And also a lot of time to look for major cruise line routes (their web sites are not done for such queries, so you should check a lot of options).
Cargo ships: it is also a possibility. There are dedicated websites. With coronavirus it was much more difficult, but I hope now the situation is again normal. But in this case: you never know when you depart, when you arrive (and possibly where). Usually you have some indications on dates and ports, but the main cargo ships is not you, so the company will change plans according the ports and clients demands/availability. It is also not cheap. Looking in past the costs, I would say it is not a cheap hotel (it includes meals, and cheap alcohol, but still not a cruise line nor an hotel), and it takes a lot of time (so overall it is not cheap). And your travel is "difficult": you need to plan various stops. Or maybe you are lucky and you will find a ship from Kochi to the Eastern US cost. (Indian Ocean + Suez Canal + Atlantic is a common route).
I think it is most impracticable as "transportation" option. You may find it good as retired person or if you want to have a lot of personal time and some adventure (maybe writing a book) (but so you do not care much about destination and length of travel, not internet connection).