No it's not. Spell checking relies on very precise rules. Fact checking relies on assessing context and, more often than not, the speaker's intention.
For example, let's take the statement "There are 300 million people in the US". Is this false? Well, it depends where I'm going with it.
If I was only relying on the figure as an approximation, I can say something like "therefore deaths from terrorism only affect 0.0x%, which is not something we should worry a lot about". This is obviously a factually valid argument, even though you might disagree with the conclusion b/c you think other facts are more relevant etc.
On the other hand, my argument can also be "and there were 300 million in 2007, therefore the population has been stagnant and we need to do something about it". This is factually quite false, since the population has in fact increased by ~18M.
Now should the original statement "there are 300 million people in the US" be rated true or false? A hostile fact checker may rate the first instance false, since there are actually 318+ million. A friendly fact checker will rate the second instance true b/c I obviously meant the rate of growth was low by historical standards etc.