Can I save Faridah Malik?

Yes you can. I managed to do it on Deus Ex mode. Here are a few things that may help out:

1. Use those exploding barrels. You can use those to take out enemies that are nearby.
2. If you have a long ranged weapon like sniper rifle, it helps out a lot. You have to take out those heavies fast as they do tons of damage.
3. Get the attention of the big bot that gets dropped. If you can toss two emp grenades over, he'll die. If you don't have any, shoot it a few times so he's focused on you instead.

You can still save her on a pacifist playthrough, but its much harder.

Here's a video walkthrough on how to do it.

The reward for saving Malik is:

She later assists you by saving the Sarif scientists in Singapore and dealing with a bunch of enemies with an emp blast so you don't have to face them.

Here's a little walkthrough if you're on Pacifist (so no exploding barrels etc.)

1. Shoot the two heavies with Tranq darts from where you stand.
2. Sprint around to the right (don't bother cloaking or being subtle, the enemies won't focus on you until you're too close or shooting at them)
3. Pull out your stun gun and starting with the one guy on the bottom floor and working your way up the stairs to the next floors, takedown (non-lethal) and stungun every guy you see. They'll be too focused on Malik to put up much resistance.
4. After you've cleared out the first floor (not the ground floor) there should only be about 3 guys left, one sniper above you, and two guys (one more sniper) in the other building.
5. Whether you want to take the sniper out or take out the other guy first and then take out both snipers is up to you, but with the snipers slow rate of fire they're not much of a threat.

It took me about 10 reloads before I tried this and it worked the first time. Keep in mind however that I'd learned the layout in those 10 tries so it might not work for you the first time.

I saved her on Deus Ex difficulty while maintaining the pacifist achievement. It was actually pretty easy if you had the right equipment.

1. You are going to need max level cloak, tranquilizer rifle, EMP grenade and a lot of CyberBoost bars
2. Immediately cloak and run directly at the heavies and knock them out. After this, focus on the combat rifle guys on the ground.
3. When the robot comes out, EMP it. If anyone dies from the resulting self destruct, it does NOT break pacifist behavior.
4. When the guys on the ground and the robot are KO'd, you can let cloak expire.
5. Quickly use your tranquizer rifle to stun the snipers on the upper level.