I know that one is not supposed to daven or learn until after having done Netilat Yadaim. In retrospect, does running one’s hand under a tap count enough to allow learning and davening and saying birkat hatorah?
Thank you for your question.
It isn’t clear to me which netilas yodayim you are referring to, but I will assume you are referring to washing your hands upon waking in the morning. In the morning we should not daven say brachos or learn, or even touch things before washing our hands three times alternatively, (three times each hand). I you can’t get a hold of a cup for this, you can run your hands under the tap three times, alternating hands. However, if a cup or any other receptacle is available you should use it instead of running your hands under the tap.
Have a great day
Shulchan Aruch Orach Chaim 4-7.