Yes but it would probably be simpler to put the 18X in a socket and move the 18x/socket combo back and forward between the breadboard and AXE021 - depends how often this would be happening.
The extra socket will suffer any damage to the pins instead of the 18x.
Alternatively, if this needs to be done a lot, 4 x 9 pin SIPS and flat ribbon cable would make a permanent jumper cable setup. 2 sips can be plugged in to the AXE021 board socket (or an 18 pin socket could be used here instead of the 2 sips) and into the breadboard either side of the chip.