You have to spend some time at altitude for it to have an effect on your haemoglobin, at least several weeks, ideally, your whole life. But, there’s always a but, this raised haematocrit is only really useful at sea level. This is because the partial pressure of oxygen in the air is lower at altitude meaning there is less oxygen for your body to absorb. Haemoglobin saturation, as measured with a pulse oximeter would be lower than at sea level. However, at altitude the body produces more of something called 2,3 DPG which allows haemoglobin to release more oxygen to the muscles. But this disappears when you return to sea level. So you win some and lose some.
Here endeth the physiology lesson. 😉