We recommend that you always type up your CV (also commonly called a resume). It is most likely that you will submit your CV online and it will potentially be scanned by an applicant tracking system (ATS), which is software that will immediately reject any handwritten application. An ATS can’t understand handwriting and is programmed to scan DOCX and PDF files only.
The only situation where a handwritten CV is acceptable is if the job advertisement specifically asks for one. Or you are applying to be a teacher of handwriting…