Cascade Wheatstone bridge sensor to increase sensitivity
No, at least not in any reasonable way that I can imagine.

The output of a W-bridge is a differential voltage (between two points). To read this voltage, you need a measurement instrument that has two inputs that are independent of the ground (and power).

You could add a second W-bridge and put the two ouputs in series, but that second W-brdige would need a power supply that is isolated from that of the first one. This makes it an expensive idea.

You would get twice the measurement value, or the summation of two measurement values. To get twice the value, rasing the power voltage might be a better idea within bounds). To sum two independent ones, you could combine the two sensors in one bridge, or simple use two differential input pairs of an AD converter and defer the combining to firmware.