The short answer is No.
The philosophy of Wear OS Powered By Samsung us to have a consistent user interface over all smart watches.
Simply put there are predefined templates for complications that the developer just fills in. So you can determine the size shape and placement
In theory you can change the layout in WFS to show only some components but it appears to me that only works if the complication has that variable too. But there is no way to cherry pick the complications that have icons or not.
Ron
Samsung Developer Relations