Coming from a conventional anti-perspirant:
Yes, absolutely. With conventional antiperspirants, aluminum clogs the pores. When you switch to a natural deodorant your pores will open and you will initially sweat more. The “biosphere” of your underarms will take some time to adjust but ultimately your skin will thank you.
Coming from another Natural Deodorant
If your previous deodorant used baking soda, there will be an adjustment period. Baking soda, while a good cheap and natural deodorizer, causes sensitivity issues in many people because the baking soda (Sodium Bicarbonate) alters natural the pH of your underarms in a way that Magnesium Hydroxide does not.