Answer: Yes, if they are in modules, then MetaMod can help you.

How: Create a module for each RSS feed. Assign the modules to a "fake" position e.g. "randomfeed". Make a note of the module ids for the 4 modules.
Then create a MetaMod in the module position where you want to actually show ones of the modules. In the MetaMod use the following PHP:

$r = mt_rand(1,4);
if ($r == 1) return AAA;
if ($r == 2) return BBB;
if ($r == 3) return CCC;
if ($r == 4) return DDD;

Replace AAA-DDD with the actual module ids of the modules you want to display.
The MetaMod needs to be published, set to display on some or all pages, and assigned to the correct module position.

Best regards,
Stephen