Yes, you can glue down T-molding. This is a common way to install the trim piece between two different types of flooring or in doorways and other transitions. When gluing down T-molding, it's important to use an adhesive that is designed for the specific type of flooring being used. Additionally, make sure that both surfaces are clean and dry before applying the adhesive so that it will adhere properly. Once glued down, allow adequate time for drying before walking on the surface or adding furniture back into place.