Maybe, unless another large passing object disrupts their orbits and
sends them elsewhere. That is also likely over the eons and we do
have evidence of stars being flung out of the galaxy due to close
encounters.

I do not mean to sound like I am against the idea of SOl having its
sibling nearby and the chance of finding them, I am simply playing
Devil's Advocate here. The galaxy is very old and a lot could have
happened in all that time which we are likely unaware of.

Look at how in just 2-3 billion years from now the Andromeda Galaxy
is going to run into the MWG and possibly fling our star system into
the outskirts of the galaxy.

With all the past galactic encounters we know about where the MGW
has torn up and absorbed numerous smaller star islands, for all we
know the Sol system may have belonged to a satellite galaxy that
is now completely assimilated into the MWG. Where would our stellar
siblings be then?