sure he can, with about 10K of them (don't people read posts before replying????).
as to the cpc1822. No, I don't think one would work as short circuit current is 50 uA (that's 1/1000 the current draw mentioned).
I have to say, the choice of a PIC at 25 mA (your numbers) is definitely not the best. Personally, I'd look at the TMS430 line which is engineered for super low power. Also, use of a transceiver seems overly agressive as well - do you really need 2 way? Though the transmit power is 12.5 mA I'd think you could get the peak current draw down to about 15 mA and using a 1% duty cycle, you could last a very long time even on a button cell.
low power engineering is pretty tricky.