Yes, but it can also have a more general everyday meaning. Make you way. You are at a conference in a hotel, someone can say: Please make your way to the seminar room on the ground floor. So people are not really needing a map or to navigate, it is just a manner of speaking. I made my way to the kitchen and made some breakfast. It can be used either in a formal or informal way, but is slightly more formal or often used in creative writing for emphasis. They all made their way to the other side of the city, they had to use a taxi, bus and tram to get there. Here again they may have had to use a map or try and find their way somewhere. If it said, They all went to the other side of the city, it doesn't imply any difficulty in getting to the other side of the city.

I agree with Daniel. 'Go' would suggest something quick and straightforward, whereas 'make your way' implies difficulty.

Yes , it means the survivors went into the jungle. Go is present tense , example ",Lets Go to the Party''.

"Made their way" indicates that the way towards the jungle was not easy. Think of a "way" as a path, or a road. In this case the survivors had to "make a path" into the jungle, perhaps navigating difficult terrain, because there was no clear path to follow already.

Made their way towards... the went in the direction of... it does not necessarily mean they went into it. Example: As I made my way towards the forest I met a man who told me the forest was dangerous, so I changed my mind and made my way home. (I never entered the forest). TOWARDS and INTO are different. They made their way into the jungle... means they went in.