Can I cross-reference thesis chapters in my thesis literature review?
The literature review of your thesis should set the scene that your own research will be taking place in, and should contribute towards motivating the work you do. However, it sounds like you're considering your literature review to be just that, a review of the literature. You really want the reader to reach the end of your literature review feeling that there's a gap waiting to be filled, which you then do. 

There may be a small minority of cases where for some reason it makes sense to cite a paper containing thesis work in the literature review, but generally speaking it should describe the literature without the contribution of your thesis.* If you discuss your work in the literature review, then the reader may not feel there is a gap in the literature to fill (or at least, if there is you won't be filling it in the remainder of the thesis).

It's the later discussion/conclusion sections and chapters where you want to fit your work into the existing literature.

* I worded this carefully because the option you describe, reflecting knowledge in the field prior to your thesis, isn't necessarily correct either. There may be relevant work which follows your own work in time, but not necessarily in substance, which you may also want to describe.