Hi Shery
There is no doubt that it is possible to connect the LVDT to the EZkit - it may be possible for you to use one of the Eval boards, such as this CftL, with an output connected to I2C using the PWM probing board, along with the FlexMC platform. However you would have to write the driver code to bring in the I2C data, and link it to MATLAB.
Dara