If you brew two batches at the same time, same recipe, same yeast, then I don't see any reason why you couldn't do that.
The problem with staggered batches, and it is even more an issue with different recipes/yeasts, is that the temperature increase from the exothermic action of the yeast will differ by batch.
Suppose you put the temp probe on Batch A, started on Friday, set to control its temp at 66. Then you do Batch B on Sunday. When Batch A finishes active fermentation, there will be little added heat from the yeast. But Batch B is still going to town, so the Batch B fermenter will have temps higher than Batch A.
If you can stagger the batches by 3 days, it is possible to have both going at the same time, but it requires two controllers (I use Inkbirds). One is set to control cooling, one is set to control heating.
You start w/ one batch, control it via cooling. After 3 days or so, add the second batch to the ferm chamber and switch the probe to it. BUT, also have a heating device (Fermwrap, reptile cage heat mat, whatever) on the first batch, and control that with a second Inkbird.
Since the ferm chamber has to cool the second batch during its active fermentation, it'll cool the first batch too much. So the second Inkbird adds heat back to Batch A to offset this effect.
I did a thread on this about a month ago. You may be able to adapt the ideas to your specific situation:
https://www.homebrewtalk.com/showthread.php?t=631776