technically yes but realistically probably not.
the way its a technically yes goes like this: a player's considering threshold and signing threshold goes down over time. say they need 1000 points to consider you at the start of recruiting - by the end, it may be 700. so if you put in 800 and ran out, its possible the guy would start considering you and sign in the end.
the reason i say realistically probably not is because the considering and signing thresholds are so small (they are so close to each other many don't even realize they are different), and the reduction is a % of that, and therefore, very small as well. how much effort is in? if you did like 1 hv + scholarship and it happens to be one of those guys where that wasn't enough up front, then maybe he will sign eventually. if you are talking two dozen phone calls or similar, then probably that will never happen, even though the gap between the two scenarios is almost nothing. the numbers are just so small the kind of stuff you are describing almost never happens - but it can, and does on occasion.