Not really. The 'steam machines', mainly Hero's aeolipile, were not a viable design for either implementation or further development, as discussed in this response by u/Bodark43, or this one by u/Spacecircles and myself.

Additonally, u/restricteddata and u/half3clipse discuss what was needed to develop and working engine in this thread.

To complement the above entries, u/wotan_weevil provides a comparison between the aeolipile and and human work in this thread.

And an entry about whether Greeks and Romans abandoned pursuit of steam engines because of the easy access to slave labour can be also found here, courtesy of u/Bodark43 and u/XenophonTheAthenian.

Adding to the excellent answers already posted, consider

Someone on an Ask Reddit thread claimed research indicates that prior to Ptolemy VIII exiling academics from the Library of Alexandra, "they were only about ~300 years from full on industrialization." Is this true? If so, where can I learn more about it? written by u/Iphikrates (check out their expansion on this idea here and u/rememberthatyoudie

“The Roman Empire was closer to an industrial revolution than you think.” I’ve read/heard something like this numerous times. Is there any truth to it? written by u/LuxArdens