No Way 90,
If a player is considered a potential early pick, you will know ahead of time. One of the most important jobs in scouting is to assess signability. In other words, scouts will start asking questions regarding your level of interest in professional baseball. Most often this is done during home visits.
It is possible that a player can still get drafted in later rounds without much interest being shown.
There are many who are surprised they got picked so low.
There are very few who are surprised they got picked so early.
Usually this is the time of year when you hear of more than 100 players who will go in the first round. 100 players adds up to over 3 rounds worth of players (depending on the number of Supplemental picks each year).
If scouts are showing interest, be happy. We've seen people get so bent out of shape over the draft that they no longer can think clearly. One player a few years ago ended up running away from his home and family over the pressure involving the draft. All their worries and concerns just got out of hand.
To everyone who has a draft prospect son, please don't let it get the best of you. Try to enjoy it and keep telling yourself how lucky you are to have such a talented son.