Of course it can. The Eulerian Cradle is only one opportunity to tilt a sample. There are other mechanisms available which do the same, like a parallelogram construction (Seifert XRD 3000 PTS). You can also rotate your sample around the sample normal and use the theta circle as "tilt" axis. The problem is, that this is no Bragg-Brentano geometry anymore so that the correction factors are different.

The question is, how accurate do you need the "texture" and what do you want to express by this property. Maybe you only need to decide whether there is a preferred orientation? Do you expect a simple texture or a more complex one? Is it a strong texture or a weak texture? If you don't need the orientation distribution function you perhaps don't have to deal with the complex task of texture determination.  

Can you perform an omega/theta measurement? With those degrees of freedom you could make a good texture analysis. I could give you more information about the measurement procedure.

Thank you very much Gertz and Henry for your quick response. Thanks a lot

@ Henry: if you don't consider a third angle (e.g. sample rotation) you can in maximum only analyse fibre textures (if you know there is one) since this is only a single section in orientation space. If you have this opportunity to rotate your sample in steps it is exactly the same I described (perhaps not that clear) above.

You are right, a third angle is needed. The intensity of reflections depending on phi (rotation), omega (tilt) and 2theta gives you a complete information about the texture. The limitations on using omega instead of psi (included in the eulerian craddle) are the maximum values for the tilt: using the psi degree of freedom the range for the tilt varies from 0 up to 90 degrees, but in the omega tilt, the range depends on the 2theta position of the peak.

There is a model for texture analysis, the March-Dollase model, where you measure the intensity of reflections depending on omega and 2theta, and the model gives you the texture factor.

I have performed a measurement where the intensity depends on omega for a fixed 2theta position and this measurement was made for various phi positions, then I plotted the intensity in cylindrical coordinates where the radius is omega, the rotation is phi and the z axix is the intensity. The proyection of this 3D plot in the 2D polar plane, gives you a complete information of the texture of the sample.

I think you should post one measurement for Ravikumar Iyyamperumal that he can imagine what you are talking about. Images are always better that many words.