relatively small rockets can go as high as 300 miles....these would be at suborbital velocities so they do not have to travel the requisite 17,000-18000mph that would be needed for orbital velocity...but they would still be at orbital altitudes....
“Relatively” being the operative term, as in relative to what. 300 miles up puts you above the international space station, which is of course achievable, but it’s not the kind of thing Iranian terrorists are going to be launching off cargo ships from shoulder mounts.