No. Previously in the older software you would have specified 0-2 tuners on the host as being set aside. With the recent update, it's dynamic, in that it grabs a tuner as needed but otherwise all tuners on the host are available to the host. You cannot specifically block a mini from attempting to grab a tuner from the host dvr at this time.
-Roamio Pro/Slide Pro
-Comcast/TiVo Mutant dvrs - RIP
-2x Upgraded Series 2 - Retired