Is there a solution for this? After I select a row in my table, I want to move up and down between the selected rows with the arrow keys.

@ariesjulianna It won’t work with repeaters. (Sorry for the wrong answer. Personally I almost only work with custom elements for repeaters and tables due to the current style and performance limitations of the native elements, so I forgot you can’t do it with repeaters).
You can’t add such an event listeners to Wix tables.

Custom elements can only work on premium accounts where you have your own domain, and not with free accounts under wix.com domain).

For custom elements you have to code your element with html and css and you can create communication between Wix page code and the custom element.
But of course, you can only use it if you know how to code with html & css.
You can see example here for custom repeaters:

https://github.com/yoavaa/corvid-custom-elements/tree/master/custom-repeater

And you can adjust it for tables as well and add event listeners as you wish.

Here is the custom elements documentation:
https://support.wix.com/en/article/velo-example-coding-based-on-the-custom-element-template
https://support.wix.com/en/article/wix-editor-adding-a-custom-element-to-your-site
https://www.wix.com/velo/reference/$w/customelement

I know this is not a solution that most of Wix users won’t use (because it requires non-Corvid coding) but if you wish to get into it, you can start from these links.