Can I connect two Macs to my iMac in Target Display Mode?

[MXBY]

I have a MacBook Pro that I use with an iMac 27" in Target Display Mode, using Thunderbolt.

I'm thinking of getting a Mac Mini also, and I want to run it in TDM on my iMac.

Can I connect both the MBP and the Mac Mini with Thunderbolt cables to my iMac, and thus use fn + F2 to rotate between all three desktops, so that I can switch to display any of these at any time:

• The MBP
• The Mac Mini
• The iMac native display

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TL;DR: Does Target Display Mode only support one connected Mac -> iMac?