Can you do it? Yes, absolutely. Is it simple and/or easy? Unfortunately not.

If you're going to go down this route then be prepared to spend a fair bit of money on legal advice, as well as budget in at least 3-6 months for the whole process. And don't be a cheapskate either - one wrong move can jeopardise all of your efforts.

On that note, you will soon find out that getting a company registered in the US will be the least of your worries, but what will prove difficult is getting any sort of banking set up for the company, as banks nowadays have extremely rigorous due diligence requirements in place and they're generally very hesitant to open accounts without you being physically present.

The best advice that I can give you though is to first get started with executing your idea - and if it's any good and properly validated then needing to establish a presence in the US will be a good problem to have.