Only if those are your legal names.
Otherwise, you will get a rejection on the background check. Either because the name doesn't come up at all ... Or it shows someone else with that name; that doesn't match your education, job history, etc.
Can I apply for a job with a preferred first and last name?
Nope
Use your legal name and if you get hired you can tell them you wish to be call something else... That’s usually just a first name.