Yes, you can ship your purchases but shipping less than a full container can be more expensive than it may be worth.
I do have some experience shipping a piece of furniture from India and as it was shipped by air with FedEx I think the experience might also be useful in this case. It turned out that shipping by air was less expensive than it would have been for 1 piece by ship. Plus, it was delivered to my door rather than to the port in Los Angeles. The item cost $400 and the cost of shipping was $600 which was what I was willing to pay, no more. So it was worthwhile for me, having looked around for something comparable before I left home. I suggest you have a maximum amount in mind, including shipping, so you know when the time comes if it's what you want to do.