Do companies like deleteme remove all google searches of you

I’m talking specifically about an employer who has your title and picture on their company website. If you search my name in Google, a link to my employers website shows up as the first result along with my name. Once you click on it my name, title and picture show. I don’t want this information public for everyone to see. Does deleteme hide this from showing up in a Google search?

I know I would need to contact my employer …

click companies employer employers google link name privacy remove result search searches talking website