Yes, your locations of notes on the fretboard are going to change, but finger formations won't i.e. if you're playing a GMaj triad on the third fret of the E in standard (EADG), and you drop it down to drop-D (DGCF), you'll be on the fifth fret of the D, but you'll still use your index, middle, and pinky fingers.
Sorry if it's clear as mud, it's kinda hard to explain without showing
