The short answer is yes. We do need to both chemically and physically exfoliate our skin. Chemical exfoliants dissolve keratin protein or the "glue" that holds the dead skin cells together and work best at night while the skin is regenerating itself. Physical exfoliants nudge the loosened dead skin cells from the top layer of our skin and should be used first thing in the morning. With the clean slate that is now your skin, a great vitamin C serum like C-Firma can really get in there and do its job.
Exfoliate according to your personal needs. You definitely don't want to overdo it. The Juju Bar and T.L.C. Framboos Glycolic Night Serum are both gentle enough to be used daily, but 3-4 times per week is sufficient. Let your skin decide.