Not sure, if it's the same site then yes. I remember using apay icici to pay though. Although I dont think billdesk was there back then. Was 2 years back, so dont recall. Try it out and report back! 😉
btw, you can go to apay section in amazon app, and pay via "insurance renewal" section, but that has convenience charges added of 1%, so the above route is better as there is no convenience charge. Also, you cant modify your policy or increase cover if you go via amazon route, so use the official link is better.