Only if the IR spectrum of the crosslinker is very much different from that of the base polymer. Even then it should be calibrated by other methods (e.g. swelling tests).
As Gyorgy mentioned spectroscopic studies monitors the amount of functional groups (which are in general the same for e.g. the mono-functional (acrylic ester) and the di-functional (acrylic ester)). Knowledge concerning the reaction mechanism (Markow 0-3) may help to statically compute / influence the crosslinking homogeneity but determination by spectroscopic methods is not possible without significant doubts. (> Leaching, swelling, DSC/TGA)
Is there an institute or university around your place? Look on their website whether they offer such a service.. You may visit them and explain the material and the does and don'ts on the sample. When they can make a film or strip from it, determining the XLD should be possible.