* Phonetically: The word "space" has a long vowel sound in the "a" (like the "a" in "say"). So, in that sense, it doesn't have a short vowel sound.
* Conceptually: "Space" is often associated with vastness and emptiness, which might lead you to think of a short, clipped vowel sound like "uh" or "eh." But this is more of a feeling than a phonetic reality.
So, the answer is: phonetically, no. Conceptually, maybe!