But it may not be like the whole cliched guardian angels mentioned in fairytales and fables though.
As Muslims we believe in Angels...it's a part of our faith and one of those things you MUST have faith in.
And according to Islam some Angels are assigned the task of guarding us too. For example we are taught by our Prophet,via his narrations, that by reciting certain verses of the Quran at night an angel will be guarding us as we sleep.
However assuming angels to be the ones who provide security for us, and thereby believing them alone to have the power to protect us is not Islamic. We believe it's God who is our protector alone and it's only by His decree are we safeguarded and watched over.
Sorry I had to get all religious in my post but there was no easier way to explain it all!!