The phrase "accomplished it without" is correct and usable in written English.
You can use it when indicating that something was achieved or completed without the use of a specific resource, assistance, or method.
Example: "She accomplished it without any prior experience in the field."
Alternatives: "achieved it without" or "completed it without".
And Bezos accomplished it without the benefit of two tiers of stock.
They accomplished it without leading scorer Paul Kariya, out his third straight game because of a bruised right foot.
He placed Butler, out of the Horizon League, in an echelon typically reserved for the Dukes and Kentuckys of college basketball, and he accomplished it without a recruiting class ranked in the nation's top 25.
What makes the winning streak so remarkable is that the Knicks have accomplished it without their captain and $100 million man, Allan Houston, who will be on the injured list until after the All-Star Game.
What makes Mr. Paterson's feat doubly strange is that he accomplished it without the help of a powerful patron, and that he owes no debts to his party's leaders.
And we accomplished it without firing a single shot".
"If you are serious about reducing our deficit and debt," he said, "you cannot accomplish it without reforming our health care system, because that's what's gobbling up more federal dollars than anything else".
"When you start reducing that kind of program and limiting what you put on the Web, it was difficult to figure out how to accomplish it without running into enormous legal and media issues," Catlin said.
A task engagement is being engaged with the tasks and accomplishing it without being stopped by inability to convey meaning because of language problems.
Jeter accomplished it all without playing anywhere but shortstop, the most physically demanding position on the field besides catcher.
But I can tell you that I am one Jewish woman who was moved to tears of joy as I watched (and, yes, identified with) the young people of Egypt celebrating having overthrown a tyrant, and having accomplished it, amazingly, without guns.
