Possibly, if you are OK with the box outline and the X being the same color.
Select the field while in layout mode.
Use the format bar to select a color for the field's border.
If you also have a border and don't want it the same color, turn off borders and enclose the field in a transparent rectangle to serve as the border.
The text is handled by Appearance Text which you can make one color and the checkboxes themselves are handled by the line color. However, you cannot have the box and X different colors without creating an overlay which is usually not worth the effort.