"without being hurt" is correct and usable in written English.
You can use it when you are describing a way to do something without suffering harm or injury. For example, "I leapt over the fence without being hurt."
"I've got 10 years in the big leagues without being hurt.
In the chaos, he and Diallo had been separated from one another, but he had managed to find his way out without being hurt.
As reckless as that was, Cravan was banking on the fight being fixed and in playing his part to uphold a spectacle without being hurt.
But I came out all right without being hurt, or hurting my guide's feelings by refusing to meet his uncle, a colonel of the Afghan Army.
"Every actor should know how to fall or hold a sword or push someone or throw a punch convincingly, without hurting himself," Mr. Poulton said, and without being hurt by others.
His exposure of his person was as reckless as Braddock's, who was fatally wounded on his fifth horse; Washington had two horses shot out from under him and his clothes cut by four bullets without being hurt.
People deciding to do without are hurting a second mall close to Mountain House.
"Chances are that without people being hurt you cannot solve the problem," he said.
Terri Hart, Robbins Research International's director of productions, said, "I've walked over them over 50 times" without ever being hurt.
Manufacturers there said diethylene glycol has been used in Chinese toothpaste for years without anyone being hurt.
But if they feel it could be managed by following his demands, a landing without anyone being hurt, then that's what you'd do.
