Not really. Vaping has no offensive odour. There is a slight scent from the flavoured e-liquid which reflects the flavour you're vaping. The scent is very mild and dissipates quickly as it's vapour is released.
Recent scientific studies have shown that there is very little risk of second-hand emissions from electronic cigarettes - significantly less than that of traditional cigarettes.
Read more recent reports from the U.K.'s Public Health England: "Expert independent review concludes that e-cigarettes have potential to help smokers quit."