OP, unless you do something drastic, no you won't get bigger while cutting calories.
you may "look better", but physically, unless your on "supps" you can't really grow and cut and get strong... unless you're getting newbie gains. If you been constantly lifting along time, no.
if you took a break, and got fat, and have that muscle memory, hells yeah you can cut and grow.
but thats totally different, you already layed that foundation down with lots and lots of hard work.