Importing members from Strip

I currently host my membership sit on BMAC. Working on migrating everything over to Ghost. Both BMAC and Ghost use Stripe and I have a stripe account setup and working for both.

My goal is to copy all the customer data from one stripe account to the other, and have my ghost website update and integrate all these new members including membership tier, subscription info, expiry date, etc.

I can see how to copy members from one account to another in Stripe, but will Ghost pick that up and add those members to my ‘membership’ on the website?