No.
In Canada, the function of a charitable donation receipt is to confer an income tax credit on the donor. This credit reduces the amount of tax payable. Foundations are registered charities and, as such, are exempt from paying income tax. They cannot use the tax credit for any purpose.
Here’s the Canada Revenue Agency’s word on the topic.
As the CRA suggests, you can provide a thank-you letter and/or an ordinary receipt (not an official receipt for income tax purposes). Also, your foundation supporter will need your charitable registration number in order to complete their own T3010 Charities Return reporting.