Could i take duricef (cefadroxil) predinisone and vicodin together?

Depends on what: you are on them for, and what the rest of your health history is like. The people that you should be asking questions about drugs THEY have prescribed to are the prescribing doctor/health professional, and/or the pharmacist who fills the prescription. There aren't any major drug interactions, but that doesn't mean this is safe for you, because you don't give any info about your health issues.