That would depend on what the design of the antenna was. Most antennas are made around a 50 Ohm impedance and not the 75 Ohms that the RG6 cable is built for. If it is only for receiving, your probably OK. But for transmitting, your not going to be able to get a low SWR.
The missing piece of information we need is how long of a run are you going to have. The answer for a 25 foot run may not be the same as one that's 250 feet long.
RG-213 is in the RG-8 family and is a bit better quality and somewhat lower loss than standard RG-8 (much better than some low quality junk RG-8 some folks may be selling). Check the specs on your coax. What you want are high sheld coverage (100% or close is best, 85% is crap), low loss (search for "Coax Loss Calculator" to compare the values) although at CB frequencies the differences will be minor, easy to find and attach connectors of the type you need (generally PL-259 for CBs), then size and flexability (read ease of installation) although better types will be the larger and lesser types smaller.
For a standard CB install my choices would be (best to worst) for the given choices:
2. RG-8 (quality stuff, not some cheapo no-name brand or store brand that buys from whomever sells for less at the time).
4. RG-58 (quality stuff, not some cheapo no-name brand or store brand that buys from whomever sells for less at the time).
5. RG-6 (as was indicated you'll have higher SWR and connectors may be harder to find/attach)
At that length nearly any standard 50 ohm coax should work fine (read that quality coax, not cheap junk coax though!). This assumes you'll be running legal power (doesn't everybody?). If you do run a "kicker" you'll need to consider the power handling capabilities of your coax as well. Chances are the RG-8 series or even RG-8x will easily handle the extra power, but RG-58 may or may not. Check the specs of what you're getting to be sure.