No, you can only use the points for that resort at 11 months. You would have to book nights at both resorts and then change to one or the other at 7 months.
Instead of doing split stays, another option is to lternate the resort you stay at each year.
For example, say you own 100 points at each. This year, bank your AKV points and borrow your BLT. That gives you 200 BLT points for this year for your entire stay. Next year, you would have 200 AKV points to use.
This allows you to book an entire stay at one resort at 11 months.
Good luck!