That's certainly creative, but based on the RFID equipment I've seen, I don't think it's feasible. The small antenna's usually need almost contact (max. 10cm or so). I've seen readers with an antenna of about 30cm x 30cm, they had a range of about 30cm or so. And antenna's of about 150cm x 60cm, they had a range of about half a meter or so. I'm not claiming this is was all state-of-the-art equipment, but it was the best we could get a few years ago, and cost certainly more than 20 GBP (between €150 and €20000). This was all at 13.56MHz.
You are trying to create a magnetic field, so you can't just use a directional parabolic antenna. Another complication is that the tag would have very little surface area when scanned from the back of the document, which would decrease the range even further. UHF technology would have the range, but is a lot more bulky, the tags are probably more expensive, and it's not very directional. You'd also need a fairly smart reader that's able to read multiple tags at once, the simple readers that you see at libraries will produce garbage when multiple tags are in range.
Unless there has been a breakthrough in RFID technology in the past few years, I don't think it's possible to do this with anything remotely PDA-sized.