THAT IS NOT IN THE BIBLE!
The verse they are misquoting is 1 Corinthians 10:13. Here is that verse:
"No temptation has overtaken you but such as is common to man; and God is faithful, who will not allow you to be tempted beyond what you are able, but with the temptation will provide the way of escape also, that you may be able to endure it."
This verse is talking about temptation not trials. The reason for this verse is so no one can blame God for the sin they commit. We can't say, "well God made me do it."
Or, "My flesh was just too weak."
The verse is to show there is no excuse for sin ever.
But God will allow stuff into your life that is way too much for you to handle. If He didn't we'd never need Him. If He didn't why do we need to rely on Him?