This is the meaning, I am absolutely certain. However, you would have to decide how to integrate it into the title of the aid program you mention (causes méritantes et difficultés finanancères for example)

--------------------------------------------------
Note added at 22 mins (2014-02-25 16:59:50 GMT)
--------------------------------------------------

Hardship payments and Jobseeker's Allowance

A hardship payment is a reduced amount of Jobseeker's Allowance which you may be able to get if you have been refused Jobseeker's Allowance, or your benefit has been stopped, because of doubts about whether you are available for and actively seeking work. You may also be able to get them if:

you are waiting for the Jobcentre Plus office to decide whether you meet the jobseeking conditions
you have been sanctioned (see under Jobseeker's Allowance and sanctions)
your JSA has been stopped for a fixed period following a benefit fraud offence.
If you want more information about hardship payments, and how to apply for them, you should ask in the Jobcentre Plus office for form JSA 10, 'Jobseeker's allowance hardship application'.
http://www.adviceguide.org.uk/wales/benefits_w/benefits_bene...
This is an example from the UK

--------------------------------------------------
Note added at 26 mins (2014-02-25 17:04:10 GMT)
--------------------------------------------------

Here's another example : http://dpac.uk.net/2013/05/hardship-paymentsbudgeting-loans-...
I am insisting a bit, as hardship can (as you will see on Google) also mean difficulty in general (there are hardship payments for expats working in dangerous countries for example, and this is like a bonus on their salary. The context you give indicates that it referes to people who are in temporary difficulty paying for their medication