The short answer: A Ukrainian birth certificate — a duplicate or a new-format issue — can be obtained while you stay in Canada. The request goes through Ukraine's civil registry system, placed by you or by a representative acting under your authority, and for Canadian use the document receives a Ukrainian apostille and a certified translation. The main caveat: records of a certain era may live in archives rather than active registries, which changes the timeline rather than the outcome.
This usually comes up when a Canadian process — immigration, pension, citizenship, a name record — asks for proof of birth from the country where you were born. Modern Ukrainian certificates issue relatively quickly; older records route through archives. The Canada-bound chain adds apostille and translation, and name spelling across the whole set is the detail reviewers check.