No. The connection ID is set when the connection is made.
I would suggest using $scon rather than $scid as $scon reference the connection in the order it was created (ie: first connection is 1, 2nd is 2, 3rd is 3). Now, while this sounds like it's the same as $scid, $scid uses the $cid information to reference that connection, as $scon references the connection number.
I'm sorry I can't explain it better. I suggest you read the help file under /help $scon & /help $scid (both are actually in the same area) and compare the differences.