Can I reposition the induction coil in a Qi charger
You can lengthen the leads with whatever wire you have, as long as you aren't going to try to lengthen them by dozens of meters.  But I'd ask first, is it necessary?  I have a wireless charger for my phone, and misalignment doesn't seem to affect it much if at all.  As long as the phone is reasonably positioned, it charges.