Can fever + headache be a pregnancy symptom?

So I been feeling the “about to get your period symptoms” since Saturday, usually when I feel them my period comes the next day well no period yet, instead I got a fever and headache almost like a cold but no other cold symptoms. Did anyone experience anything like this and turn out to be pregnant because at this point my period is about a week late or might it be just a weird coincidence and I’m just looking too much into it lol