Would it be possible for a doctor to prescribe routine blood work if i requested i haven't had blood work in a while and i will really do not want to go out during the pandemic?

See your Dr.: Routine Blood Work is only a small part of the Annual Physical Screening. The most important part is the Physical Exam and discussion of current symptoms. These, together with the labs forms the basis for any kind of diagnosis. Without the Physical exam & symptoms, lab work is not very useful. Since a Complete Physical Exam cannot be done in Telemedicine, it will require you to see your Dr.