Did Thomas Paine write the Declaration of Independence?

I was reading an article where Gary Berton makes a defensive argument, being also a critique of Maier’s American Scripture, that Thomas Paine’s ‘Common Sense’ gave birth to the Declaration of Independence.  I find this humourous as I believe that not only did Paine give birth through writing ‘Common Sense” but by the more direct route of actually writing the original Declaration of Independence document itself before I suspect he handed it over to his close friend Thomas Jefferson to rewrite.

“But you don’t have to take my word for it,”

Common Sense

By Thomas Paine

On the Origin and Design of Government in General, with Concise Remarks on the English Constitution

Some writers have so confounded society with government, as to leave little or no distinction between them; whereas they are not only different, but have different origins. Society is produced by our wants, and government by our wickedness; the former promotes our happiness positively by uniting our affections, the latter negatively by restraining our vices. The one encourages intercourse, the other creates distinctions. The first is a patron, the last a punisher.