Yes, you should be able to get decent enough family snapshot or "Kodak moment" 4x6 print from a 2 megapixel phone camera but don't expect works of art that would impress David Bailey.
For a start a 2 mpx phone camera will never be as good as a 2 mpx dedicated camera and the same can be said about about 8 or 10 mpx mobile phone cameras these days, they can not be compared with equivalent 8/10 mpx compact never mind a digital SLR of the same resolution.
For a start, due to cost and size constraints the optics in a phone cameras will never be as good as as in a camera that costs the same as the whole phone that also houses digital radio units with software royalties to be be paid to chipset manufacturers like Qualcomm.
Enough of that as I'm now straying into my "9 to 5" job
I remember even getting great A4 size prints from my first 2 megapixel Olympus Camedia 2000 that I bought in 1999.
Do get a replacement for your broken digital camera however. You can get a decent compact digital camera for less than the cost of a Breitling crock strap these days
And if you believe that...