Yes, you can hatch a chick outside a shell
Experts say it is possible, but not easy to do what Japanese students accomplished in viral video

A video making the rounds on the internet depicts a group of Japanese students cracking an egg, dropping it into a plastic pouch, and incubating it until a baby chick emerges several days later.
The video has received about 50 million views on Facebook, and other versions have popped up on YouTube and other platforms.
Though questions remain surrounding the video's authenticity, the process is possible, according to E. David Peebles, a professor of poultry science at Mississippi State University. In fact, this is not the first time such a thing has been attempted.
"I remember seeing a similar kind of thing when I was in a lab North Carolina State University," Peebles recalls. "They had relatively limited success with it, but they did have some success."
And as the The Daily Dot observes, this kind of process has been referred to in scientific literature dating back to at least 1971.