Question:
I want to update a site on Wix Studio, but it was built on Wix editor. It seems that I have to rebuild the site. My concern is that I don’t want to pay for a new plan or change the domain. Is it possible to connect the new site to the old site plan? If so, how?
There is no such way that I know of at the moment
Edit: My apologies, the comments under my own correct me, you can, but will just need to pay the price difference
this will help show you how to transfer the premium plan to a studio site. You will need to rebuild the old site in Studio.
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You can’t connect a regular Wix premium plan to a new Wix Studio site. I’d like to do that too if it were possible, but I think you’ll need to pay the difference by upgrading your current premium plan. 
yes, you need to pay any difference in the hosting plans
What a terrible user experience if there’s no transfer method for an existing site from Editor to Studio site for paying premium users.
A migration feature should be very high in your backlog as you are alienating existing users to use your latest features.