Yes. Online renewal is available here.
Click to view a video demonstration on how to create an account here.
Click here to view a video demonstration on how to renew license online (after your account has been created).
However, individuals applying to sit for a professional examination are currently asked to submit a paper application (available at https://www.tn.gov/commerce/regboards/architects-engineers/license-applicant-resources/forms-and-downloads.html) until a partial payment option is available.