Inductor using thick film technology
Yes - an inductor can be made using anything that has magnetic coupling between various portions of itself. Use of PCB tracks as inductors is well known and thick film methods are essentially just an extension of that. 

What do you want to do with it?
The limitations of non-metallic inductors are more liable to be Q than power rating - this will depend greatly on required inductance and current capability, so application will play a significant part. 

Power handling is liable to be influenced by temperature rise which is (of course) affected by current if power handling is envisaged. To get some idea of power limits you'd need to better specify your conditions. An imcomplete list would include: 


what frequency, 
what current, 
what application, 
what inductance, 
what area is available 
what voltage isolation is required (if any)
Do you intend to fabricate multiple layers and if so how?


or one layer only,   
or one on each side of a single PCB,   
or a pcb sandwich,   
or ... ?





Murata chip inductors

KOA thin film chip inductors