As long as you mange keeping the oxygen consumption at the minimum (perfect muscle relaxation), avoiding hyperventilation, and manage dropping the heart-rate as soon as possible during the apnea, then definitely yes. However, stress and nervousness are often subconsciously bind to muscle tension and hyperventilation, so it needs a good deal of self-control and experience to take the maximal advantage of the pre-dive stress.About the higher heartrate before a dive. I tend to get a bit nervous before an "important" dive. My heartrate goes up a bit but more noticeably the beats are more powerful. Will this also have a positive effect?
But generally the pre-dive stress and nervousness are more positive than negative anyway, and are important factors influencing also the dive response. The pioneer of FRC diving, Sebastian Murat, often claims that he would love to be a beginner again experiencing fears and stress when diving, because with the experience it is becoming quite hard to trigger the pre-dive stress with artificial means to improve his diving response.