No.
"I have good news."
"I have some good news."
"I have a piece of good news."
All of the above are correct. You might hear the last one somewhat less, but it is still correct and would sound natural.
2013年8月7日
1
4
0
You can also say "That's good news".
2013年8月7日
0
0
0
not because news is uncontable , so you have to say what's good news