Can one without a single paper on a topic write a review paper about it?
The simple and short answer is Yes!
You have the freedom to try and publish anything you want, assuming the publisher is accepting it.
Now the long answer. Your concern is that since you do not have any expertise in this area you might do a poor job. This concern is valid and indeed there are high chances that you will do a poor job. But there is no rule written in stone that you cannot write a good review if you spend sufficient time and effort in learning about the new area.
Let us also explore a few more questions.
Why do we need to write review articles and if you get it published, will it be useful?
Review articles help many researchers in understanding the state-of-the-art in their field of research and sometimes new researchers actually start by writing review articles, in the first year of their PhD. And some of them end up doing a decent job with that.
Review articles are of a different nature. Some of them are written by experts in a field to make it more popular and they try to include reviews of articles written by their collaborators with the goal of improving their citations. I believe your goal nobler and you should carry on with it.
I am from the field of computer science and I just wrote a blog reviewing vaccinology 3.0 and how data science is enabling it. While doing this review I learnt a number of important concepts regarding vaccines and my review are also useful for an audience which is of similar background.
Since you are writing a more formal review you have more responsibility but with proper care and hard work you should be able to do a good job. Moreover, you will always get feedback from the reviewers which will help you a lot in further improving your understanding of the field.
Best of luck!