There are also step bits that cut larger holes as they go. They require some control not to go too far, but they require little force, since at each moment, they are simply enlarging their own hole.
They are not common above 1-3/8" but I see one on Amazon up to 2-3/8"
I checked they don't. Amazon has this one (https://www.amazon.com/CO-Z-Large-Spiral-Groove-Drill/dp/B07CMPH9VY/ref=sr_1_3?dchild=1&keywords=2%22+step+bit&qid=1604183044&s=industrial&sr=1-3) for 30ish with the 5% off coupon. Do you have a drill press or a hand drill?
You can but the big ones get expensive https://www.amazon.com/dp/B07CMPH9VY/ref=cm_sw_r_apan_i_dl_Y6MSJQ4CB011CT0R4E5E