Well, no. In the sun's immediate neighborhood, there's about 1 star for every 280 cubic light years. So there should be about... 1875 stars within 50 light years, 15000 stars within 100 light years, 1875000 stars within 500 light years.
The whole Milky Way galaxy is only about 100,000 light years across.
Saying everything we might be interested in is "millions of light years away" is similar to Al Gore claiming the center of the Earth is "millions of degrees."
Actual temperature is 5000 to 9000 Celsius.
Now if you'd said (many) millions of miles, you'd have been quite right. Although a little on the short side.:)
We can be there tomorrow!
:)