Yes of course. the Chiuv mitsvot (duty, legislative responsibility) follows the happening of the daat (faculty of judgment). And the daat is linked with maturity (a step in psycho-physiological development) corresponding to the age of puberty. Naturally, females reach puberty (approximately after the age of 12) earlier than males (approximately after the age of 13). The fact that a human being is a Kenaani slave or a free Jew does not intervene on the process.
An other topic, I do not really come to the question is the unicity of age. I want only to show a Mishna in Sheviit, containing a sobering statement of Rabbi Shim'on (2, 1):
עַד אֵימָתַי חוֹרְשִׁין בִּשְׂדֵה הַלָּבָן עֶרֶב שְׁבִיעִית. עַד שֶׁתִּכְלֶה הַלֵּחָה, כָּל זְמַן שֶׁבְּנֵי אָדָם חוֹרְשִׁים {ב} לִטַּע בַּמִּקְשָׁאוֹת וּבַמִּדְלָעוֹת. אָמַר רַבִּי שִׁמְעוֹן, נָתַתָּ תּוֹרַת כָּל אֶחָד וְאֶחָד בְּיָדוֹ, אֶלָּא בִּשְׂדֵה הַלָּבָן עַד הַפֶּסַח, וּבִשְׂדֵה הָאִילָן עַד עֲצֶרֶת:
...You gave to every body his own legislation...