Hi, Welcome to eHealth forum!
Yes there are methods to reduce sweating. Underarm sweating along with sweaty hands do benefit to some extent by cutting off the sympathetic nerve supply. Only underarm sweating benefits more from superficial liposuction and this is tried in some cases.
This is best treated by an endocrine specialist or by a surgeon specialized in this. You can talk to your PCP regarding this.
However before you go for this, ask him to cut on coffee, tea, spicy food, smoking and alcohol and see if it helps. Hope this helps. Take care!