Setting Cookie To Expire

["jb_aggie" <webforumsuser@xxxxxxxxxxxxxx>]

Is there a way to expire a cookie on one domain while browsing on another 
domain?  Example: site one sets a cookie to connect to a shopping cart ... 
checkout process goes to site two (different domain) ... when finished, the 
cart needs to be cleared by expiring the cookie from site one ... it needs to 
expire while the person browsing is still on the site two. Is CFHTTP an option? 
 the CFHTTPPARAM type=COOKIE just has a value option ... should I be able to 
set the expire at this point?