Widget [Read More…] link custom coding

Hi

I am working on a site currently – https://www.child-matters.co.uk/

I have set up a dynamic widget in the right sidebar with the latest posts show

Instead of Read more at the bottom of each of these post links is there a way to make it so that the section (per post) is clickable and the “Read More” is no longer needed?

I want to put a light tint so each post title/link has its own box then the whole box is the link and goes to the relevant page.

Is this possible?