Whether to italicise the name of government program in APA style?
APA requires the use of italics for:


Titles of books, journals and periodicals, films, and videos
Introduction of new key technical term or label
Anchors of scale
Words, phrases, or letters presented as linguistic examples
General/scientific names, species, and varieties
Letters in statistical symbols or algebraic variables
When a reader might not see the intended emphasis or misinterpret the use of a word in a sentence.


The name of a government funded program does not belong into any of these categories. So the answer to your question is no.

For sake of completenes, here is when APA forbids the use of italics:


Emphasis
Foreign phrases common in English
Greek letters
Nonstatistical subscripts to statistical symbols
Chemical terms


By the way, I found this information simply by googling for "APA italics".