Ichiro is the one player who could have done it, had he played his entire career in MLB.
Ichiro has about 2,500 hits right now and he started playing here when he was 27.
He played 9 years in the Japan, but only 7 as a full time player.
So lets say he played from the age of 21 in MLB, or 6 additional seasons and averaged 200 hits a year.
That would be another 1,200 hits, plus his 2,500....so he might be sitting at around 3,700 hits right now.
That would put him well within range of the record....even with the decline in his play the last few years.