I can't create Apple ID with "Your request cannot be completed at this time" error.

“At this time" is unfortunately a somewhat vague Apple catch-all error message. It could mean that you cannot connect to the Apple service you need to use, or it could mean there is something invalid or missing in your information entry and once you correct that, _then_ it is the right time. ;-)

- First, check if the problem actually is at Apple’s end of things and if there’s an issue with Apple's servers: Apple - Support - System Status

- Completely disable any VPN you are using.

If those do not resolve the issue, check what you are doing is valid (such as when creating an account all your information is consistent for the country in which you are creating the account) and has ALL the information required (scroll down to see if there’s more off the bottom of a page). Confer with Apple's documentation about the action you are trying to do.

If you still have problems, contact official Apple Support:

For help with Apple ID issues, click here ➞ https://getsupport.apple.com/?caller=cups&PGF=PGF63005

Click here --> Choose your country or region - Official Apple Support Select your country, then a product. If you don't see one that handles your issue then keep experimenting with selections until you reach one that gets you a chat session or a telephone call and get the representative to redirect you.

or:

Contact Apple for support and service --> "See a list of Apple phone numbers around the world."

Click here --> Contact Apple for support and service - Apple Support

I don't know why. I am not sitting behind you looking at everything you are doing. I only know what you tell me and what might be possible reasons. Perhaps Apple can elicit more detail.

Refer to this page for Apple Support features ➔ Contact - Official Apple Support

Select from the presented options until you find a solution for your issue, or see if there is a chat or phone call contact method offered lower on the page (you sometimes have to narrow down the options multiple times before this is shown). If you do not see your issue, keep experimenting with any series of selections until you reach one that offers a chat session or a telephone call and get the representative to redirect you.

This support article has various country telephone numbers for contacting Apple for support and service ➔ Contact Apple for support and service - Apple Support