Beyond all certainty, the answer is 'yes''yes'.
The Sputnik 1 was specifically designed as a propaganda ploy, the singular intention of which was to broadcast a radio 'beep' that could be picked up on regular AM radios. There was no other practical purpose of the ball. That's how we (Byby 'we', I mean my family and I, personally) detected it as it flew overhead. Of course, we were able to see it as well, given the time of night and the position of the sun reflecting from it.
Sputnik 1 was less than 23 inches (58 cm) in diameter in an orbit between 215 km. and 939 km. withWith the state of radar at the time, it would be undetectable by any Earth-based system unless they were specifically looking for it,.
Sputnik 1 was the first, period.
America did not even have radar installations that would reach near-Earth orbits, nor that even covered their own air space, until after 1957.