tl;dr: no.
If you're just doing it to have things look okay, make them look good to you and call it a day. You won't be able to get it dead accurate, so err on the side of looking good.
If you need your calibration to be properly accurate, you're going to need dedicated hardware (which isn't that expensive, really - $100 or so). You can probably eyeball the brightness and contrast okay, but colour is very hard to get right simply by looking.
Printing a photo is unlikely to help, either - unless you go through a fair bit of effort, all you're doing is adding another variable (your printers colour reproduction).