Directly? No.
Even if you could link a gear to relay signals, adding one more OPEN or CLOSE signal from lever would just make the repeater skip a beat, not stop.
However, any system that sends OPEN signal x steps after getting an open signal and CLOSE signal x steps after getting a close signal would work, if you don't mind a little delay.
For using gears in particular, using two pumps could work, with "on" turning one on, pumping water to directly onto a plate in a step with second one off, and on off signal turning the first one off and second one on to dump water back (however, beware that pumps keep working for 49 steps after disengaging the power, iirc).
Alternatively, you could link the gears to max-speed roller to move cart onto a plate in 1-3 steps (depending on cart placement in the tile and whether it is flat or ramp), with different roller to send it back on CLOSE signal.
Non-gear systems, there's numerous options for pushing cart to the edge of a tile and then stopping. Track Stop in particular has same cadence/delay as upright spears, and while you can't easily get one on a ramp, you can have another cart on valid ramp pushing it from behind, ready to bump it off as soon as the track stop is turned off - then you could put a door/floodgate/hatch behind launch system to stop the repeater from sending any more signals.
Or you perhaps could use a door with cart pushed against it by ramp, raring to go downwards onto plate as soon as the door is opened and going around in a small circle stopped with little delay (perhaps reducable with multiple carts) as soon as the door is closed. (If you had the plate and door on length of flat track instead, you'd add 1-step delay to checkpoint through the track the door is on, and then would spend more than 1 step on the plate.)
Alternatively, since you already use it you could link the signals to on-off for water-dropper with plate in the middle, though this has bit of a delay.