Cut the pressed tofu into 1-inch cubes. Pat dry with paper towels to remove excess moisture.
In a large skillet, heat the vegetable oil over medium-high heat. Once hot, add the tofu cubes in a single layer. Cook for about 5-7 minutes, turning occasionally, until golden brown and crispy on all sides. Remove the tofu from the skillet and set aside.
In the same skillet, add the minced garlic and sauté for about 30 seconds until fragrant, being careful not to burn it.
In a small bowl, whisk together the soy sauce, lime juice, honey (or maple syrup), sesame oil, and cornstarch mixture. Pour this sauce into the skillet with the garlic and cook for 1-2 minutes until it thickens slightly.
Return the crispy tofu to the skillet and gently toss to coat the tofu in the sauce. Cook for an additional 1-2 minutes to heat through.
Season with salt and pepper to taste. Serve hot, garnished with chopped green onions and sesame seeds.