Yes, a speeding ticket can be considered a moving violation in some states.
Receiving a speeding ticket is not the same as being convicted of a moving violation. When you receive a ticket normally you have the option of pleading guilty and being convicted or fighting the citation in court.
When you pay a fine and plead guilty then typically you are convicted of the speeding offense and it then is placed on your driving record. If you go to court and fight the ticket and are found guilty in court then you are then convicted of the offense. After a loss in court and conviction then the speeding ticket would then be placed on your driving record and counts as a moving violation conviction.
If you fight the traffic ticket and are found not guilty or you otherwise get the ticket dismissed then it is not a conviction of a moving violation and does not go on your record. So merely receiving a speeding citation does not yet count as being convicted of a moving violation. You are convicted either in court or by pleading guilty for the offense and paying the fine associated with the citation.
A parking ticket is not considered a moving violation, along with a few other vehicle incidents.