SFML can draw triangles with texture, yes. You simply specify the texture co-ordinates in each vertex and pass the texture to the draw call.
Do note, though, that trying to do textures with perspective distortion is very tricky and is probably best to just leave it to OpenGL to do the 3D if you need that.
It should be noted that SFML does (can) use the hardware for graphics acceleration as it uses OpenGL. However, SFML completely ignores any depth values and is strictly 2D. Getting 3D effects out of a 2D graphics library is tricky but can be fun!