As stated, going up is no problem as long as there is enough pressure to push it. Be very careful if you have a modulating control valve on the steam inlet to the heat exchanger. During periods of low steam needs, the control valves modulates closed reducing also the pressure of the steam in the exchanger and lowering the available pressure to push your condensate upwards, even 10 feet up is about 5 psig.
This is a common problem, often called 'Stall'. This will cause the water to back-up in the heat exchanger, possible water hammer, and poor process performance.