Inkjet Printers+lamp+unused pcb can It work?
No this will not work, but you can use the toner transfer method to print markings that act as etch resist or even designators on a PCB - I have tried it with the transfer paper that Digikey sells and it works okay, with practice. You can use a laminator, (possibly modified to handle the thickness), or an ordinary clothes iron and some skill. The toner can come from a laser printer or a photocopy of an inkjet or laser printed page.

One caution- the kinds of solvents that remove flux will remove the markings in an instant.

If you search "toner transfer" you will find lots of tutorials.

Alternatively I think you can use UV sensitive PCB materials (it's possible to buy them pre-coated with resist) and expose them with printed transparency or paper (possibly saturated with oil in the latter case) and a UV exposure lamp.

None of these methods are as nice as buying PCBs online, made to order.