I like projects that are different and this one qualifies.
Yes, it's possible but getting it done may not be worth it to you. You've got at least 3 challenges to overcome:
- Most integrals are less than the 18.5" length on the International. You could find a shop to do a custom length but this will limit your choices.
- It doesn't look like there's enough wood to accommodate the .920 diameter of the integral. That means having a custom stock made. $$$
- The metal tip on the International would need to be modified. (Break out the Dremel! ) That's the least of the issues, and will go away when you have to make another stock, unless you want it to be incorporated.
If you decided to have a custom stock made, it could be done for a 16" barrel, to save you the expense of a custom integral.
Google pic: