You're talking the Pachysandra groundcover? Yes, assuming you leave something behind to start regrowth from. Most any plant will try to regrow when cut way back. It's just a matter of how much. Mosquitoes, huh?

Yes they will grow back, though it will look fairly homely while they do so.

I guess I don't understand the logic. Do you have no other plants where mosquitoes can shelter? It will be best if you can prevent them from hatching out from their aquatic larvae stage by making sure that there isn't standing water or damp soil around, and where you can't get rid of their breeding grounds, you can add a naturally occurring bacteria (Bacillus thuringiensis israelensis AKA Bti) to the pond or other water they are where the larvae are. It doesn't hurt other critters even if they eat the larvae. It comes as granules in a shaker or floating dunks. If you want a patio to have fewer mosquitoes, a rotating fan will help keep them away, and then there's always the option of bug repellent applied to clothing and bug nets.

I don't have sitting water or a pond I just was someone speak about cutting them back for mosquitoes and was curious. I have had them for 5 years I don't think I will cut them back since they are so full.

As far as that all goes, I found it interesting......and disgusting, that one of the chief means by which the mosquito responsible for spreading Zika virus around breeds in the tiny pools of water found on..............wait for it...............chip bags, old soda cans, discarded bottles......What a great thing it is that "progress" is spreading around the world.............and with it, progress's garbage.

What matters is where they reproduce. Mosquitoes breed in standing water. Period. Another one I've heard recently is that termites get in your house through bamboo plants.

Spoiling landscape plantings is not going to prevent mosquitoes from being around. The one big exception is tank bromeliads - the water that collects in the centers of those plants is a significant mosquito breeding area.

Sort of defeats the purpose of growing pachysandra. Asian tiger mosquitoes (Aedes albopictus)can breed in the smallest amount of water -- water caught in overturned pots, bottle caps, plastic bags, sagging gutters, bird baths, drainage piping, etc. There are probably a million places they'd like more than pachysandra because pachysandra really doesn't hold water. They might 'hang out' in pachysandra though.