There are a bunch of things that go by the name "tiger
lily". I bet you're referring to what I'd call a day
lily. "Day" lilies are so called b/c the
flowers last a day! There are varieties of day lilies that have been bred to last longer. So if this is what you're talking about, no, you're not going to have more later.
The trick to having week's & week's worth of
flowers is to let the plants multiply-- grow them in big masses. Then you'll have
flowers for several weeks. In this way, individual plants will bloom over a longer time frame. Well worth the space, in m opinion-- they are such lovely plants!