>I have no prior experience in it

Well based on the comment I replied to, you communicated that you did! Don't sell yourself short. Talk to your manager; is there opportunity at your current org to do the kind of work you are looking for? If not, look elsewhere; the challenge is communicating that you have the relevant experience (ideally with something to show at your current role (hence my previous comment)).

When I was first starting out, one of my goals was to manage a team. I thought no one would hire me for that role since I didn't have the background for it.

Instead I started freelancing, got a few clients, and eventually hired others to help me.

Looking back, when I impressed clients with my work I was regularly offered various forms of management responsibilities. I probably could have found other opportunities like that if I had pursued it.

If you demonstrate good results in one of the main skills required for a job and explain how you would build up the others, you might be surprised at who would hire you.

People who can do well in several areas and effectively manage projects or other people are always in short supply.

No but if you have a job right. Ow you can take in PM responsibilities on top of your current work. After 6–12 months you have PM experience you can parlay into a PM job.