Yes, this is possible depending on how the applicant intends to use the TLD and whether the applied-for TLD qualifies for .Brand TLD designation or a Code of Conduct exemption. There may be cases where a generic term is being used in a specialized way, in which case a Community gTLD may qualify as a .Brand TLD or for a Code of Conduct exemption. For example, a family with the last name "GenericTerm" may apply for the .GENERICTERM string and designate the applied-for TLD as a Community gTLD, restrict registration eligibility to its family members (the defined community), and qualify for Code of Conduct Exemption (Exclusive Use designation).