Unfortunately, Inklingo will NOT work with a laser printer.
A laser printer uses toner, not ink, and it uses heat. If you put fabric and freezer paper into a laser printer it will probably ruin the printer because the plastic coating on the freezer paper will melt and create a mess that cannot be repaired.
Luckily, you can probably pick up a Canon Inkjet on sale for less than $50 and you can have more than one printer connected to your computer at the same time. Inklingo uses a tiny amount of ink, so if Inklingo is your primary use for the Inkjet, the ink will last a long time.