The answer is not really, because it may not be practical or cost-effective.
In order to take advantage of free dining you have to have standard non-discounted park admission for everyone in your reservation for the minimum amount of days specified in the promotion. (In this case 4 Days).
That means you would not be able to convert your tickets to APs until after the 4 days, but at that point since your renewal period would last through the end of May (30 Days) and you are traveling in July, you would essentially have to pay for a full price AP minus the pro-rated cost of a 4 day ticket.
Now if you're staying for like 2 weeks, that will work out in your favor, but if you're staying for 5 nights, it most certainly will not.
At that point, you're better off taking the AP discount on room and using the associated merch and TS discounts.