Yes, this is what I see with that link:
(screenshot resized 50%)
Any ordinary hosting will allow HTML to be rendered but I get the impression you are looking for free hosting.
Free hosting is available from a number of websites. I have free hosting at AwardSpace and InfinityFree but when accessing web pages there my antivirus throws up phishing warnings. Also emails from form submissions are not transmitted. I expect both these limitations are due to spammers trying to use the free hosting. On AwardSpace your carousel is currently working here: http://create.mywebcommunity.org/honogan.html. (note it’s not on World Wide Web). A friend is using free Google Sites for a sports club website with impressive functionality but I don’t think that allows you to upload your own HTML content.
There have been an number of threads in this forum about using AWS, for example: How to create a free CDN, Content Delivery Network account - #5 by John_Betong. I have not looked into that or into using Google Cloud.