I also say go for it! While the full moon definitely has the strongest energy, each phase of the moon has a unique power to it. Sometimes, the energies of the full moon may not coincide with the intent you are looking for. You can absolutely draw on any of the moon phases and celestial energies!
The Moon Magic page has some more info and reassurance about using the different phases for different types of spellwork and energy.
The Moon is Earth’s only natural satellite. She accompanies and influences us in many ways, even if we can’t always perceive it. Most Witches are extremely sensitive to the lunar cycles and can sense the effect that the Moon and its phases are having on them. This can be used to make better decisions and expect better results in turn.
It has been proven that the phases of the moon have different effects and influences on the Earth and all living beings. The lunar phases can alter the ocean tides, the weather, our sleep patterns, our moods and many other things including rates of fertility, caused by the extra light that the full moon provides
[From Spells8 Moon Magic: Spells for Each Lunar Phase]
Each moon phase has a distinct effect and influence on both people and nature. Your crystals are out there soaking up that potent first quarter moon energy- now you’ll be able to draw on that power throughout the month through your stones!
Good luck, and enjoy the blessing of the first quarter moon!