*waves*
Yes, it makes sense, works well and has been done and played (and is being played) a number of times. Paladin 4/EK 10 / ASOC 10 / sorcerer 6 can be a caster in full plate with the divine shield ability which means it can tank almost anything while casting his repertoire (automatic still spell in epic levels as Steve said).
The ability to swing his sword is limited but you can hit things if you go all out on AB buffs, generally though it's a better idea to concentrate on other spells, your spell selection is limited as a sorcerer.
If your priority is to wield a sword a possibility is paladin 3/ EK 10 /sorc 10 / dragonslayer 7 with as much STR as possible.
As for Bard/Paladin there are alignment issues there, you can't do it
