Hiring managers will understand that most recent nursing grads don’t have working nurse experience outside of their clinical school experience. As such, you should definitely include work experience you’ve had in such a way that it speaks to traits that are relevant to nursing.
Some of these things can include skills such as:
customer care and compassion, time management, ability to perform under stress, critical thinking, adaptability, and attention to detail.
Any number of non-nursing work experience can speak to these skills.
Here are a few examples: customer service, child care, office work, retail, serving in a restaurant — just to name a few.