Is that possible without the need to externally save/export the current
config? In other words, is that possible changing the RCV MAP on the fly
without having to connect to a pc and loading a previously saved MAP?
No, you can only assign one RCV Map. But here is something you can do:
PC #00 -> 1:1
PC #01 -> 2:1
PC #02 -> 3:1
PC #03 -> 4:1
PC #04 -> 5:1
With footswitches on the TimeFactor, you may be able to easily switch to 10 presets.
Is it possible changing the RCV MAP on the fly without connecting to a PC?
Yes. You can change the MIDI PC RCV Mapping on the unit in the Settings->MIDI->RCV Map menu.