[cwp]

Right, technically English doesn't let you drop pronouns. On the other hand there is a pretty long tradition of dropping first person pronouns in writing. You see it in informal correspondence and journals from before electronic media were omnipresent. Stuff like, "Went to the store today. Got stuck in a snow bank and had to call a tow truck."

I don't think it comes from immigrants that speak other languages, so much as economizing long passages of text that's all in the first person. The "I" at the beginning of every sentence just gets dropped.