The simple answer is , you ought to be able to, but I think the answer might be no

In theory It should be easy to test.

However ,it may not be this straightforward.The inter kingdom battles do not start until 30 days  after its formation.

 K.v.K.'s  are happening right now, check to see if you are getting any points, if not, you may have your answer. 

Are you looking to get rewards from scoring points?

If so you may be disappointed, you only get the somewhat  inappropriately  named personal rewards, if your Kingdom wins the battle.                         

Early in the game gold can be hard to come by, but  Its worth spending the  seemingly high price in gold to form your own clan, if you cannot get into a clan.

Open clans mean you can just join it , closed means you have to apply

However, here's a conversation stopper , I never got resolved .

For some reason I was listed in the CvCs even got points credited to me, though I was ineligible to take part,

I had no assigned opponent, and my influence was below the prescribed total required.

it sounds strange. maybe your enemy has dissolved a clan?

I can't recall not actually what the min influence you should have, but I remember, if your enemy's clan was dissolved, it's equal auto win.

Originally I had no clan, then I formed my own, and then wished I had done so sooner, until I found out about the Konung  levy.. Money for old rope.

It being unfair , for various reasons ,It should be discontinued.

As a result, of the levy I was going to disband my clan as soon as I had used up my loyalty and prowess points, but still have it.

If you are not  in a clan, though initially quite expensive , there are some advantages to starting your own clan pronto, which is why I recommended  doing so in another post. 

No, as I said, I was never assigned an opponent, and never had the ability to move to another Kingdom for C.v.C. no free teleports there and back. but nevertheless I found I was  awarded points for some action performed ,listed in the ranking, generally in last place.

This happened on many occasions, not just a one off

Easy enough to find the rules and  influence required to take part in C.v.C  its listed in the information, but to save you looking its 5,000,000. 

Finally, there is a posting elsewhere , where a clan official asks " why didn't we get any rewards from the competition?" It claims their opponent disbanded the clan just before  it ended, so it doesn't appear to be an automatic win  if your opponent disbands ... unless this fix has been subsequently applied because of that post.

Was more of a comment in passing rather than me needing a solution now.

The situation has only recently changed, if my influence drops  back ,it might be interesting to see if I am re excluded from the C.v.C.s 

No, I didn't .Virtually impossible to reach the targets  set , especially if you do not know where the points are coming from.

I couldn't understand how I could score if  I wasn't competing.( Hence my uncertainty in answering the topic starters question.)

I had asked many experienced players and got no where.( generally the normal  in game response is no response at all.)

This has reminded me of another recent incident, no doubt it happens to other players in other kingdoms, its another example of the experienced player 'forgetting' about  the capabilities of,  and the restrictions on, less advanced players. 

Someone was 'accidentally' tile hit.

The  somewhat dubious response was,"sorry, accident" ,in any case you shouldn't be yielding in the home Kingdom  during C.v.C.

I realise that of the some 40000+ towns, or 200+ named clans listed, not all are still actively playing, but the vast majority fail the eligibility test, so  would have no other option but to yield in the home kingdom during C.v.C