Absolutely! In fact, I make them without one. A burger press can pretty much be replaced with any heavy object. I like to use another skillet or pan. Additionally, this recipe calls for spreading the raw ground beef right onto the tortilla which is a step that is very useful if you don't have a burger press. In a classic smash burger, the burger press is what does the smashing. But here we're kinda skipping the smashing and just pressing the beef into a thin, smashed layer with our fingers.