"Every moment there is an opportunity to bring the yearning of our hearts and the deeds of our hands to Hashem, the Creator." That's a quote from David Mark, from his post called Building The Temple Within on Breslov.org.
Traditional Jewish prayers waft up to heaven on a set schedule, using well-established words and rituals. It is understood that these prayers were put in place as a substitute, so to speak, for the Holy Temple in Jerusalem after it was destroyed in 70 CE (AD) and there was no way to fulfill the exact sacrifices specified in Torah.
God is in charge of the Holy Temple and God is in charge of us, the people living on the Earth with only the Western Wall remaining from the last Holy Temple in Jerusalem. We can pray the traditional daily prayers and we can pray from the yearning of our hearts at all times. We are not limited in our prayers at all.
Watch Jews from all over the world visiting the Western Wall by visiting The Western Wall Webcam. Day or night, you are welcome at The Wall!