Yes, IF your temper bead welding procedure qualification requires hardness testing as part of acceptance.
See below
QW-290.3 Variables for Temper Bead Welding Qualifications.
Table QW-290.4 lists the essential and nonessential
variables that apply when temper bead qualification is required. The column “Hardness Test Essential
Variables” shall apply, except that when the applicable
Construction Code or Design Specification specifies
acceptance based on impact testing, the column “Impact
Test Essential Variables” shall apply.