Thank you for reaching out and sorry to hear that you're having trouble in moving elements inside XD. From the Image which you have shared with us and taking it as reference, please select the path(Icon map-swimming)from the artbaord on canvas from Adobe XD, Right click and select copy/cut from context menu and select the group inside the component from layers panel and try to paste It and It will work or even you can copy from layers panel.
Please ensure you have selected group/component inside the component where you want to paste from layers panel before pasting and later you can rearrange inside that component.
We're sorry for the inconvenience. please feel free to update this discussion in case you need further assistance and we will be happy to help..