Can I seperate digi from lcd? Can I buy digi and LCD?

Hello. I had a specific questions. 1. Can I seperate the lcd and digitizer?

I have had a stroke of luck and had half of the digitizer come off cleanly, but the other half is filled to the brim with glue, and the hair dryer will still leave glue residue.

2. Can I buy the Lcd without the digitizer and successfully connect the two together?

I have a digitizer from a friend who brought one and never used it, but it's way past the time of return on eBay. Can I buy the lcd alone and put the two together? Is there a special paste or something I would need to put the two together?

Thank you!!!