Yes. 'Move' as an intransitive verb (the first form) does not make a distinction by whether the subject of the verb is the locomotor or is moved by an external source. 'Move' as a transitive verb (the second, passive) indicates the motion is performed by the subject on the predicate.
So, intransitive:
'I moved.' That doesn't tell you that I was moved by someone else or myself. It merely tells you that my position changed.
Transitive:
'I moved myself.' This sense of 'move' indicates that I was moved, and I was the one who did it.
Arguably correct in a strict grammatical sense, esp. when dealing with inanimate objects. However, In standard English langauge usage that is not how the words are used.
In common usage: "I moved" carries the implication that I was the one doing the moving. If someone else moved me, standard English usage is "I was moved".
Likewise, if you are talking in the third person: "He moved" carries the implication that "he" was the one performing the action, in contast to "He was moved".
In essence, the active tense tells you that "I" am the one taking the action. It is intransitive, but not because it doesn't tell you whether the object is the locomoter or is moved by an external source,
but because it does tell you. No subject is needed because, when used in this way, the meaning is "I moved [myself]."
Rules are written according to standard usage and the characters are treated as animate objects, not pieces on a board (unlike, for example, chess pieces).
Carl