There appears to be some evidence that media organisations can/will/do move from places they report on if threatened, or if they expect to be threatened (noting that Winandmac Media's move from Hong Kong seems to be somewhat preemptive):

Winandmac Media, an IT website that had covered Hong Kong news since 2010, said it had already moved its operations and financial resources out of Hong Kong due to the dramatic deterioration of press freedom in the city.

One interesting thing to note is it seems more media organisations tend to self censor rather than physically move.

• More examples here

There appears to be some evidence that media organisations can/will/do move from places they report on if threatened, or if they expect to be threatened (noting that Winandmac Media's move from Hong Kong seems to be somewhat preemptive):

Winandmac Media, an IT website that had covered Hong Kong news since 2010, said it had already moved its operations and financial resources out of Hong Kong due to the dramatic deterioration of press freedom in the city.

Another example I came across is a Mexican Journalist:

I have to left my country, ironically, to be able to keep doing my job.

A note: media organisations may tend to self censor rather than physically move.

• More examples here