Yes. You can easily keep or increase your strength although you may lose some mass, depending on how much you have now. I have been powerlifting along with running about 20 miles per week and body weight exercises for about the past six months. Before that I had done nothing strength oriented for nearly four years and was getting kind of weak. My testosterone has also been below the detectable level for around 18 months. Despite that, I have built some decent strength quickly with 255 lb back squat, 330 lb deadlift, and 145 lb bench at a body weight of 175. The bench is lagging because I started it a couple of months after the others but it's moving up steadily. My mass/size gain has been minimal.
So building strength on HRT is easily possible but it takes some work, just like without HRT.
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