Assuming it is 1"x1" that is pretty close to the Lewmar Beam Track 0 (24.7mm x 24mm). The current size 0 has a max span of 400mm (15.8 inches). Since I highly doubt that the track design has gotten weaker, no i don't think this will work.
I would also point out that the size 0 on an end boom sheet is pretty marginal for your boat. I would really recommend you go up a size, which would not only be better for the loads but also allow you to span this distance easily.
If you choose not to go up a size then you need to build a support brace strong enough to carry the loads. If you go this route then the easiest base is a 1.5"x1.5" heavy walled aluminium square extrusion as the bridge and then custom fit wood pads as the seat braces
I would also point out that the size 0 on an end boom sheet is pretty marginal for your boat. I would really recommend you go up a size, which would not only be better for the loads but also allow you to span this distance easily.
If you choose not to go up a size then you need to build a support brace strong enough to carry the loads. If you go this route then the easiest base is a 1.5"x1.5" heavy walled aluminium square extrusion as the bridge and then custom fit wood pads as the seat braces