Like others have said, it is not a good idea to remove parts of an antenna that are part of its resonance. It could be done but you would more than likely have to re-tap the tuning coil to make it resonant with the driven element at the same height.
However, there may be a chance that you could compensate for that in a simple manner. There isn't much chance of you being able to work out the inductance of the radials you remove but what you could do is this:-
Measure them and make your mounting pole the exact same length as one of them, then get a piece of 4 inch plastic tube about 6 inch long and where your coax is parallel with the bottom of the mounting pole (antenna already launched) wind 6 turns of the coax around the plastic tube in a sequencial manner so than each turn is at the side of its previous turn (like a slinky coil). Tape it up so that you have a nice neat job.
You will never get the antenna to radiate in the way that it was designed but you might have a chance of making it happy electrically.
However, there may be a chance that you could compensate for that in a simple manner. There isn't much chance of you being able to work out the inductance of the radials you remove but what you could do is this:-
Measure them and make your mounting pole the exact same length as one of them, then get a piece of 4 inch plastic tube about 6 inch long and where your coax is parallel with the bottom of the mounting pole (antenna already launched) wind 6 turns of the coax around the plastic tube in a sequencial manner so than each turn is at the side of its previous turn (like a slinky coil). Tape it up so that you have a nice neat job.
You will never get the antenna to radiate in the way that it was designed but you might have a chance of making it happy electrically.