From the pictures, it looks like it has plastic guide wheels but if it were conductive to short out the two rails, it would activate the signals and any trains will be stopped before they reach you.
Do not ever rely on this sort of safety mechanism. There are also systems in use that rely on axle counters and bookkeeping - basically, on each block they count the incoming and the outgoing axles. When your draisine now is either too lightweight to trigger an axle counter or you set it on the rails in the middle of a block, the ops central won't know you are there.
Even simpler, there are systems that use a physical token.
To proceed into a section of track, the train driver/guard must physically possess an object, typically handed over at a station just before the section, and returned just after.
While the UK has indeed stuck to almost exclusively using track circuits for a very long time [1], within the last two decades axle counters have become much more common.
[1] With some exceptions – the Severn Tunnel e.g. was switched to axle counters already in 1987 because track circuits proved too unreliable within the (wet) environment of the tunnel.
The ones I've rode look like these[0], so in case they are running in different directions, you can easily lift up the one side with just one wheel on both vehicles, and then just push them. Simple and not a heavy lift either.
Definitely an issue with personal rail travel, whether from the opposite direction or an unclearable traffic jam in the same direction, and whether two rails or mono.
If it’s like the ones I’ve been on, you either lift them off the rails, or if you’re just hiring them, sometimes just both turn yours the other way and swap.
ALWAYS KEEP IN MIND, you should use railbikes ONLY on ABANDONED lines!!