Yes and no. Sin is particular to Christianity. Not all religions conceive of sin as the main problem, nor salvation as the way to solve it.
Good book on this is 'God is Not One' by Stephen Prothero.
For instance, you could say Buddhism's problem is suffering. But that's not something it imposes on you; that's something inherent to the human condition, more or less. It offers a solution to that, but you can't exactly compare apples to oranges.