No, you cannot, you absolutely can get competing signals that can damage the amp/crossover.
I have talked with JL Audio (and Velodyne, and B & W, and Sunfire....) about multiple inputs when I owned an F113. I bought a Rel B1 and sold the JL Audio so I could use one sub for both, with 2 sets of connection. Definitive Technology Subs do this as well.
I really think it's easier, and prob a better set up for a high end system, to buy an external cross over and keep your bad-ass sub like the JL Audio. You are integrating the 2 channel sub anyway, this just take it the next step and takes the lowest frequencies away. If you have speakers that truly go down below 30hrz, you may not want to do that, but then you can just let the full LFE signal go to those speakers anyway without damaging them, and you don't need any connection but the 2 channel, with the processor set to no sub.
I have talked with JL Audio (and Velodyne, and B & W, and Sunfire....) about multiple inputs when I owned an F113. I bought a Rel B1 and sold the JL Audio so I could use one sub for both, with 2 sets of connection. Definitive Technology Subs do this as well.
I really think it's easier, and prob a better set up for a high end system, to buy an external cross over and keep your bad-ass sub like the JL Audio. You are integrating the 2 channel sub anyway, this just take it the next step and takes the lowest frequencies away. If you have speakers that truly go down below 30hrz, you may not want to do that, but then you can just let the full LFE signal go to those speakers anyway without damaging them, and you don't need any connection but the 2 channel, with the processor set to no sub.