Note: I have only been able to get Telegram for iOS’ shortcut actions to work when using my full 10-digit number + international code (+15738234380.) My own number is the only one I’ve actually tried (I originally created this shortcut for my own use, which is excusively within my “Saved Messages” chat.)
Using a Get URLs from Input action, this shortcut sends a list of links as single-message-per-URL messages to a contact of your specification via Telegram. It can be added to the share sheet to receieve Text, Rich Text, and URLs. Otherwise, it will retrieve a list of links from the clipboard.