Yes but for to do it you will have previously transform it in outline

I agree with Dhafir Photo but I would also try to use the alternative layout.
When you create it you can activate the functions that duplicate the text styles in a new group and maintain the link between the texts.
In the first layout you assign a font style to the words you are interested in; in the second layout you change the same font style by adding, for example, underlining and a transparent colour.
When you make changes, the second layout will need to be updated and when you export the pdf, you can make 2 layouts by selecting the parts that interest you.

Grep does not delete text except with find/replace. If you want to do everything with the paragraph style, you can create a “micro” (0.1pt) font style that hides the characters you are not interested in.

You could assign a paragraph style to all dates and, in the Grep Style, assign the font style with the desired colour only to the character *.