You would need features that in fact begin and terminate transcription in the exact correct places. I don't know any polIII promoter and terminator sequences that would do that for you. And then you need to avoid going down the regular mRNA modification pathway, like capping, poly-A tailing... I'd also imagine it would make dramatically less of it. So no, I can't imagine how that could be done.
As John already said, RNA Pol II created RNA will be capped and poly-A-tailed, so the half-life of the RNA in the nucleus will be very short. If you really want to use RNA Pol II driven promoters, e.g. to create inducible promoters, one can consider to design a construct with a embedded gRNA between two self-cleaving ribozymes, which releases the gRNA afters self-cleavage 5' and 3' terminal ribozymes.
There is an article indicating that indeed you can use both Culiflower Mosaic Virus promoter (CaMV P) and Nopalyn Synthase Terminato (NOS T) expressing the guide RNA. We were rather suprised with this because in our hands we did not get this to work. However, we must be careful becase we were using it in transient tobacco leaf transformation assays to correct a mutation in GFP coding sequence that we deliberately introduced.
Here is the paper and the URL
RNA-guided genome editing for target gene mutations in wheat..