Be hard pressed/pushed to do something
Definition 1 of 1
Pro Tip 1/3Challenging Circumstance
Use when something is so difficult it's almost impossible due to current conditions. 
With the market crash, they'll be hard pressed to keep the business afloat.
Pro Tip 2/3Time Constraint
It's useful when explaining tight deadlines or limited time to complete tasks. 
We'll be hard pressed to prepare the report by tonight.
Pro Tip 3/3Skepticism Expressed
When you doubt something can happen due to lack of evidence or difficulty. 
You'll be hard pressed to convince them without any proof.