Off the shelf, not quite yet that I'm aware of.
Something could probably be done with fairly easily Siri shortcuts and/or IFTTT (if this then that) scripts. I've also never tried to pull Memphis data from anything but the smartphone app to know if that's possible, but the Fireboard data is in the cloud. If I could get some interactive steps to work, I could easily see this:
Me: Hey Siri, log the cook
Siri: Pulls Fireboard data and responds: What did you cook?
Me: Brisket
Siri: What did you season it with?
Me: Black-ops rub
Siri: Was it poor, fair, good, or great?
Me: good
Siri: Ok Master Glitchy, your cooking session has been saved
I know nothing of this type tech...are you saying this is possible?
"Hey Siri, get the cook data from the Memphis and save it noting it was a Black Ops seasoned brisket at 13.1 pounds at everyone liked it" <- that would be ideal.