Yes, you can.
The cigarette lighter is on a 20 amp circuit; so even am Export radio can be used there.
However, it is not the best way to do the job. Better to wire them up with an inline fuse from the battery directly.
CAN you? Yes. SHOULD you? IMO, no.
The average automotive cigarette lighter - oops, I mean accessory outlet- is good for around 20 amps or so. Plenty enough amperage for most exports to be sure, but I would be concerned about the plug-to-outlet connection and the heat that would develop there.
For a short-term setup such as in a rental car it should be fine as long as you don't key down and talk for half an hour under full power. But as a permanent setup I wouldn't do it. If nothing else it looks sloppy.
With a cigarette lighter plug?
Cigarette lighter plugs generally can't handle much over 5 amps continuous and 15 amp short duration keys. A few cig lighter plugs actually have fuses built into them too.
I run a cigarette lighter plugs with mine because of the amount of undesireables moving to Fl from the northeast and mexico......easy to pull out when leaving the vehicle at a park and Ride all day.
just curious, what radio are you using
This is probably your best bet
CigBuddy, the portable cigarette lighter plug to Powerpole adapter [CigBuddy] - $12.99
Convert any automotive cigarette lighter socket into a Powerpole outlet with this portable adapter. CigBuddy has an LED power indicator and dual ground tabs. Rated at 14VDC @ 20A, includes a user replaceable 20A fuse. A great item for your emergency bag.
Older CBs...I have a stack of them....my uniden 76 prolly....its loud.
Well then dont worry about that powerwerx plug
Just get this one at RadioShack and you are good
Enercell 12V/10A Solderless Vehicle Adapter Plug : Car Adapters | RadioShack.com