Is it permissible to ask for help for oneself under another name out of modesty, given that Allah knows one's intention?

If you are asked to help the poor in general, and the description of poverty applies to you, then there is no harm in taking from it. However, if you are asked to help a specific poor person, and you want it for yourself, then it is not permissible for you to take from it, due to the deception involved and the violation of the principal's condition.