You can indeed, try
You can override the style of the SVG by applying a CSS filter. This CSS property was added in recent years and support for it has since been implemented by most-used browsers.
Unfortunately, it is not as straightforward as inputting a HEX code and calling it a day. Instead, you will have to calculate which CSS filter operations to use to achieve the desired outcome. I found this online tool for it: CSS filter generator to convert from black to target hex color (codepen.io)
Example:
Let's override the SVG color with #F97F02:
filter: invert(54%) sepia(45%) saturate(1577%) hue-rotate(356deg) brightness(94%) contrast(109%);
Keep in mind that this tool assumes that your starting color is black. If you have any other color, such as grey, you will first need to apply the following filters:
brightness(0) saturate(100%)