I2C Pulldown Resistor
No, or at least not past a very low limit like one or two additional devices. You would (1) be creating a voltage divider and the logic levels for I2C would go out of spec and (2) further increasing the pull-down current the I2C devices have to handle. Usually I2C devices only use pull-ups at one or two ends of the bus.

If you really have to, you can calculate how much of a divider you can tolerate before you reach the minimum voltage of I2C, but also calculate the Thevenin equivalent and verify that you are not exceeding the drive current (unlikely given that exceeding this current is what is making you consider this).

If you really cannot remove the extra pull-ups you might be able to use some of the many available I2C repeaters/bus extenders or isolators. You should be able to find breakout boards with some of those devices. Adafruit has an I2C multiplexer that would work, but it would require software changes.