No. That machine only has a 32-bit kernel.
In terminal type,
If the output shows RELEASE_i386 you have a 32-bit kernel and cannot boot in 64-bit mode.
I believe that 64-bit Logic Pro will run in 64-bit mode even though you have a 32-bit kernel. Just because the kernel boots and runs in 32-bit mode doesn't change the physical architecture of your processor. So the 64-bit limits apply to a 64-bit running application, not 32-bit limits. Of course the application itself may impose limits of its own which are possibly smaller.