Is Himalayan pink salt the same as the pink salt used for curing?
No, these are completely different products.

As you indicate, so called "pink salt" is a mixture of sodium chloride (regular salt) and sodium nitrate (or sodium nitrite) for curing meats, tinted pink to distinguish it from regular table salt.  it allows relatively accurate small batch curing, as in home sausage making.

Himalayan pink salt is a naturally mined rock salt, whose impurities can tint it a variety of colors, including pinkish, from iron oxide.

Hawaiian pink salt is another naturally harvested salt whose red clay impurities tint it a pink color.