Most garden experts say no, because a "chilling" period is required for many bulbs. You may get greenery but not flowers.
One thing I try to do is buy blooming flower (bulbs) and then plant them in my garden in the Spring. They then come up the next year!
My lilies usually bloom a little later in the Spring.
So far I have already had my snowbells bloom and already disappear (they are always first).
Right now I have crocuses and daffodils appearing.
My hyacinths, peonies, and tulips are just peeking out a tiny bit.