Humm, i think yes if Titanic hit head on she would if stayed afloat, but the whoel front of the ship would of been destroyed maby right up to the bridge, but human instinct would tell you to avoid not collide.
Also a head on would obviously have its own problems... people at the frot of the ship would be killed and tons of things would of been destroyed, considering back then ships wernt built as strong as they are now, traveling at full speed into a berg.. the funnels and masts would all been ripped off forwards, boilers might of rupture and explode it could of been just as bad.

I think the way to of saved Titanic would of been to put the left engine in reverse (full speed) and the right in forwards (full speed) to increase turning power, also to keep the middle propeller in full forwards pushing as much water on the rudder opposed to reverse where it would of taken water away from the already small rudder.