It is not safe to do so and could lead to several issues:
Heat buildup: Both the glass top stove and the induction cooktop generate heat during operation. Placing one on top of the other can result in heat buildup and may cause damage to the glass surface, leading to cracks or shattering.
Stability concerns: Glass top stoves are not designed to support the weight of another cooking appliance like an induction cooktop. Placing the induction cooktop on top of the glass stove could lead to instability, making it more prone to tipping or sliding during use.
Electrical hazards: Electric stoves are connected to a power source, and placing another electric appliance on top of it may create electrical hazards, such as short circuits or other electrical malfunctions.
Manufacturer's guidelines: Both induction cooktops and glass top electric stoves come with specific usage and safety guidelines provided by their manufacturers. Placing one on top of the other is likely to violate those guidelines and could void warranties.
If you need additional cooking surfaces, consider using the induction cooktop separately on a stable and heat-resistant countertop. It's essential to follow safety guidelines and use appliances in the manner they were intended to avoid any potential accidents or damage. If you're unsure about the compatibility of your appliances, consult the user manuals or reach out to the manufacturers for guidance.