Answer: False
One example is that during the summer time there are typically more sunburns. At the same time, more people are eating ice cream. Does ice cream cause sunburns? Of course not. But the two variables (amount of sunburns and amount of ice cream) are positively correlated to each other. As one variable goes up, the other goes up with it usually. As one variable decreases, the other typically decreases as well.
This example shows that correlation does NOT imply causation. The ice cream does not cause sunburns, nor does increase of sunburns cause more ice cream to be sold. There's a third quite obvious factor powering both of these. Namely of course the amount of sunlight.
For more examples, search out "correlation vs causation" or "correlation does not imply causation".