In England & Wales you have three choices.
You can use the owners CPH if he is happy with that. If he doesn't keep pigs, then you can add his holding no. to your existing e-aml. Otherwise if he has pigs, he'll need to do the forms for you and add your herd no. to his e-aml.
If he keeps pigs or other livestock, then you both affect each other on movement standstills, so many farmers won't be happy with that, and how will you know for instance that he moved sheep yesterday which puts your pigs on a 6 day standstill.
So he may want you to take a separate CPH for the woods. CPH's have nothing to do with ownership, they are merely a way to understand parcels of land. This is easily done as long as you have a physical boundary (fence) and separate unloading to his. IE your animals don't touch his land in order to get to your rented bit - you can drive over his land, but not walk the animals on it.
Presume there is a holding no. that applies to the woods? If not you'll need to get one from RPA if in E&W.
With a separate CPH you can move without worrying about his moves.
Finally you could add the woods to your CPH. If you adding the woods to your present pig enterprise - rather than moving to a new location, if the woods are within 5 miles of your existing CPH, you can split the woods from his CPH if needed and add them to your rented bit (above rules on separate unloading and boundaries apply). Upside - this would let you move pigs between your two locations without movement forms. Downside is that they whole lot is a single holding for movement, so moving pigs or other livestock onto one puts a standstill on all.
Discussion with owner needed to work out which option will suit you both best