Somewhat.
The first decision you have to make is wether it is a virus or a bacterium. Bacteria are usually easier to cure since they are living beings, viruses are protein capsulas with RNA/DNA. Viruses are hard to find a cure/control, think Ebola, HIV, the Flu etc.
I personally would use a Virus, since bacteria have many weak points modern medicine can attack. The walls of Bacteria, their slime capsula, their metabolism etc., while we only start to understand how to fight Viruses if at all.
The second problem is that the people who survived the first iteration of the Virus develop antibodies. Sure, the medicine will carry most of the weight, but at the end of the day the body has to fight the fight and develop antibodies.
If they are to stay immune, these antibodies need to still be able to defend the body. But man has the capabilites to extract these antibodies from blood and use them to cure / vaccinate in form of a serum.
Unless your charactars don't share a genetic anamoly which protetcts them against the Virus, having them develop an immunity or making them unreceptive to the disease like some real life people have against HIV (They are carriers, but don't get sick.), they are either fucked because they aren't immune anymore or would use their antibodies to cure the disease.
Here are some "in a nutshell" style videos about diseases and the immune system:
https://www.youtube.com/watch?v=zQGOcOUBi6s
https://www.youtube.com/watch?v=y0opgc1WoS4
On life and death:
https://www.youtube.com/watch?v=QOCaacO8wus
Evolution (and please depict it realistically - not like plague inc. etc. No new mutation of a virus spreads in hours - this takes years. And the adaptation must make sense.):
https://www.youtube.com/watch?v=hOfRN0KihOU
And since we're talking stories, one of my favourite webcomics about a disease mutating Mammals and other animals all over the world, only leaving Iceland and some remnants of the Scandinavian nations alive - and how a group of people goes to the "Silent World" in search for knowledge. It also plays with the themes of Immunity, Eugenics to spread immunity, dealing with a disease and the apocalypse in general. Stand Still, Stay Silent:
http://sssscomic.com/comic.php?page=1