Yes, I think that's what Kees Brandenburg (
@keesbran) did when he first tried DAS. Sorry, I don't recall the process parameters or methods, but he wrote about it on here a couple of times. But apparently it doesn't work perfectly, as testified here:
https://www.photrio.com/forum/threads/diazo-sensitized-carbon-transfer.77680/page-9#post-1067456
Seems like he always got some fog, so he went to DAS-incorporated tissue instead.
But I think this is much convenient.
Because the tissue is not light sensitive.
I agree and having light-sensitive glop and drying tissue is inconvenient. However, the consistency of sensitizer-incorporated tissue is just far superior to any kind of brushing/rolling/soaking technique you could figure out. I've done a lot of carbon work over the past few months and my conclusion is that if consistency is required (e.g. for color work), sensitizer-incorporated tissue is the only realistic way to go.
For B&W work with some margin of error / unpredictability, a brushing or foam rolling (better, in my experience) technique works just fine, at least with dichromate.
Sorry, I have not (yet) tried sensitizing with DAS in a similar way as with dichromates.