It is possible, though it won't meet current code. The power black goes to the common of the first three-way with black and red going to traveler terminals. White splices to power neutral (white) with a wire nut. Always make sure grounds are spliced together with a pigtail to the switch.
At the center box, with a four-way switch, black and red from the first box goes to two terminals with the black and red going to the third box to the other two terminals. The white neutral splices to the white to the light.
In the third box, black and red are travelers with white going to the common. This becomes a switch leg, hot when the light is on and should be colored something other than white. The other end of that white switch leg, in the center box, needs to be colored (magic marker, black tape, some way to indicate it is NOT a neutral) and splices to the black going to the light.
Current code requires a neutral in each switch box, and you won't have one in the third box, which is why it will not meet code in most locations.