Is that possible? Not having an internal sense of time? I second Steven's advice, perhaps just practice more with the metronome.
In the years off and on that I've taken lessons, my current teacher is the only one who has really focused on absolutely, precise, accurate rhythms.
Yes, you can have difficulty internalizing rhythm... but yes, you can work to improve it. You should look at Dalcroze methodology: see if there is a teacher or a summer workshop in your area.