Hey, this question (and many similarly like it) has been asked a bunch. here is my answer to a similar one
So to specifically answer your question, no copy was sent from the colonists to England, however, several copies naturally made their way there and they were discussed in newspapers by August 6th. Three copies are still kept in the UK’s national archives. For more information related to what the King’s response was, please feel free to click on the link above. If you have any follow ups, please post them here.
Edit: to clarify another commenter’s post. A common misconception about the Declaration of Independence is that it was created specifically to tell Great Britain that the American colonies had formally severed ties. While this is partly true, it’s main reason for existing was to declare it for the states to now be formally banded together. This was significant because it formally banded the American colonies together, in a way that no British colony ever had been, until this point. The leaders of the Independence movement also knew that there was no way Britain would recognize American Independence in 1776, so it wasn’t really worth sending an emissary there at that time. Even after the battle of Yorktown happened in October, 1781 which effectively ended the war, it took the U.K. nearly 2 years of intense negotiations to agree to recognize the American colonies as having been formally separated from Great Britain.
Are there any particulars about the grievances? Like when we’re troops quarters in peoples homes? And the others?