No, Osmose doesn't have integrated CV/Gate functionality.

However, you can use external converters from third party manufacturers, e.g. Polyend's POLY 2.

For best conversion performance, you should use Haken Audio's very own Continuum Voltage Converter with Osmose. Please note that as of now, only the 19" rack version is supported, not the newer Eurorack version: https://www.hakenaudio.com/cvc-introduction