No. A cue learned with one person may not yet be clear with another voice, timing or setup. The answer is not to compete over who is in charge. Check whether your dog responds to both people in an easy room before asking in a busy place. Also notice whether they seem worried around one person, since fear needs a different approach from an unlearned cue.
Choose one simple cue the dog already knows. Your partner can practise it in a calm room, reward the first correct response and stop while the dog is still engaged. Keep the word and the reward timing consistent. Do not repeat the cue louder and louder or punish a dog who does not understand. The article on why cues work at home but not the park explains how a change in context can make a familiar skill harder.
If the dog freezes, avoids a person or newly struggles with cues from everyone, ask your vet about health or hearing concerns and get qualified reward-based behavior help. A few pleasant repetitions with each person build clarity without turning training into a power contest.
Today, let your partner run one easy cue where the dog already succeeds. Compare what each of you says and rewards, not who the dog supposedly respects more.
Sources: VCA on predictable rewards and clear cues, Dogs Trust on positive habits with a puppy, VCA on fear around people.