Last month I completed Path of Radiance and Radiant Dawn on normal without loosing a single character. It was very gratifying. I am planning to play the games again on hard later this year. Is it possible to complete them in this difficulty level with no deaths? I don't want to spend hours seeking for the impossible but, if it is workable...

Grats

It is very possible. I'm currently most of the way through the 3rd part (greil Mercenaries) on hardmode and the only person I have lost is Meg (hey it turns out sending her unarmed and with no items into battle then using her to plug a hole in your front lines leads to her death... Who knew? Or cared??)

Whenever i play Fire Emblem i NEVER let one of my troops die! i couldn't stand loosing someone from my team, especially if I like them a lot or they're high in level

i've never played on hard though, no deaths on normal is as crazy as i go :p

you play like a true fire emblem veteran. Turns out that Fiona is pretty useful like that too

The highest praise :)

Yeah, the extra speed helps out with fiona from that perspective, and they both do negligible damage and will die in one hit. I still cant decide which I like more out of shove or rescue in combination with canto

When I play Fire Emblem, I think probably about ~15-25 of my characters usually die in the course of the game. It doesn't make a difference, you get better characters to replace them later anyway.

I consider myself extremely good at strategy games, I cannot fathom how people can manage to get through any of the games without losing anyone; that seems highly improbable. There's always going to be some sort of critical hit surprises. I suppose you could reset levels that you lose characters on, but that is where the game becomes a chore and not worth playing anymore.

You crazy!

It's hard to do it without losing characters, and it certainly doesn't require save state cheating. Hard mode only allows saving outside of battle, and the most number of times I've played a level is 3. Normal mode I lost no-one but did use a bit of save state cheating when I made mistakes

Critical hit surprises are not as big as you are implying. If your characters are the same level of mine, then the crit that enemies have against you from non killer axes, spears and magic should be 0, so no need to worry

Bows and swords should be around 4-5 (or more for killer) % but a critical hit wont come anywhere near to killing your tanks

So the only things left to worry about are killer axes and killer lances. The best tactics against these are 

1 - Soften them up with bows and magic, finish them with melee in 1 hit so they cant retaliate

2 - Kill them with or force them to attack a nimble swords(wo)man, someone like Zihark or Mia. Their high luck and speed will mean that the hit chance and crit chance should be very low

And general advice would be - Accept that you will not be able to level up everyone. Some characters should only be used for things like shove, trading items and completing objectives. My battle plan for most levels is to create a line of my hardest to kill warriors at a choke point. Then next turn you move your damage dealing and healing characters up to do their job and then reform your protective wall 2 or 3 squares ahead of them. On normal mode you can make it display where the enemies can move/attack, so use that to make sure your line is good enough. Try not to move some people like Meg and Fiona and if, when you've moved everyone else you notice that someone can be attacked, then use shove/rescue or just put them in the path of the enemy

Whenever there's any game that can have characters killed off, I take extreme caution not to let anything happen to them. Should they die, I start over, lol. Even if I don't like them.

Frankly, I'm not sure I'm up for hard after playing through normal without getting anyone killed. After all, I do have other games to attend to.

I do the exact same thing for all of my fire emblem games and it's fairly easy later in the game if you level up your characters right early on but I am working on the shadow dragon on the merciless level hard mode and it is very difficult not trying to loss a single character.

especially since the bonus chapters can only be obtained if you loss a certain number of characters.