Is this weapon possible?

a weapon with 20% recharge of divine favor skills and a 20% enchant

No there aren't spell modifiers on swords - except on quest rewards.

yes, get a 20/20 collector staff and add a 20% enchant staff wrapping to it.

collector staff locations:
http://gw.gamewikis.org/wiki/Rylan_Paval
http://gw.gamewikis.org/wiki/Mag_Ironwall
http://gw.gamewikis.org/wiki/Leijo
http://gw.gamewikis.org/wiki/Wilhelm_Joseph
http://gw.gamewikis.org/wiki/Maddison

LOL, what was I thinking... I was mislead by the username... I need sleep...