There's no 'infer-word' functionality in Gensim. It's plausible that it could be written, & work similarly to `Doc2Vec.infer_vector()`.
If inferring from just one or a few examples of a new word's usage, the resulting vector might be quite peculiar to those limited usages: of little use elsewhere. But, hard to tell for sure without running experiments.
The crude approach of simply modeling any new unknown word as some weighted average of the words found near it might come usefully close to the results of a full formal inference, because after all, neighboring words are all trained with very-similar overlapping contexts. But, across a large varied corpus, it may be the slight remaining contrasts with common neighbors that dominate the distinctiveness of a fully-trained word. So, hard to know the value of inference-over-averaging without running experiments.
- Gordon