Yes. Three lamps in series will work, provided they are reasonably well matched in terms of current flow and resistance. Automotive bulbs are actually meant to run on 13.8 volts, which is the voltage of a car's electrical system when the generator is running. That gives you about a 20% margin between bulbs on 32v. Can't see a problem. If one of the bulbs blows, all 3 series bulbs will go out. The other two are not blown. If you can't get 3 that match, replace all 3 with another kind.
Another option is to look at LEDs intended for automotive or RV use, but rated for a range of voltage, e.g. 12-30VDC. This multi-voltage rating means they have an electronic switching power supply inside, which adapts the incoming voltage to the constant current the LED needs. Same concept as those 100-240v laptop power supplies, or 100-277v fluorescent ballasts. They commonly specify 24 or 28 VDC as their max voltage, but there's a fair chance any particular brand will work fine on 32V.
Yet another option is to get a 12V DC power supply to replace the 32V power supply. 12V DC switching power supplies are common thanks to the popularity of custom LED lighting. You would not need to rewire; simply leave the lamps in parallel. However, since voltage dropped by a factor of 3, current will increase by a factor of 3 (assuming you stay with incandescent bulbs of the same brightness) - so make sure your wires are thick enough. I would actually recommend also converting to 12V LED at that point, which draws much less power and solves the wire-thickness problem.
Historically, electric streetcars/trams used five 120V bulbs in series powered by the 600V DC trolley wire. 600VDC arcs like crazy, so the bulbs are special "transit grade" types designed to snuff a 600v arc when they burn out.
Resistors are a bad idea. Railways do that too, commonly for headlights, and it's a pain - the resistor must be matched to the bulb. Changing bulb types requires recalibrating and often redesigning the resistor. Also, resistors run at spec have a 700 degree F surface temperature - dust accumulation or a bit of paper could start a fire. Even if you wildly oversize to bring the temperature into safe range, you still have to deal with the waste heat.
By the way, last I was in an auto parts store, they wanted $6 for a 2-pack of bulbs. Don't pay that. Online, they are much cheaper.
32v is a largely obsolete voltage once used in railways. Bulbs are getting very hard to find. If it has anything to do with a pool, I would switch to 12v.
For incandescent lights, heaters and other resistive loads, you don't need to worry about AC vs DC. AC voltage is labeled based on the DC voltage it behaves like: to a resistive load: "32VAC" is that voltage which will make the bulb the same brightness as 32VDC.