Can a VIP belong to multiple SSO Multi-domain configurations?

For multi-domain support, is it possible for a VIP to belong in two separate multi-domain configurations?

 

I have one configuration with the following:

 

1. apples.company.com (primary authentication service URL)
2. grannysmith.company.com (participating domain)

Another configuration with the following:

 

1. Oranges.company.com (primary authentication service URL)
2. valencia.company.com (participating domain)

Now I want to add a third participating domain, Plants.company.com, to both configurations, so when a user logs into apples.company.com or oranges.company.com, they are automatically allowed into plants.company.com.