The short answer to this is yes.
If you are receiving acupuncture from a properly trained and qualified acupuncturist the risk are negligible. A number of studies have been conducted showing that patients report very few side effects at all. Those who do indicate small issues such as tiredness, a small amount of bleeding at the site of the needle etc.
Acupuncturists and the premises from which they operate should be registered with their local authority. BAcC practitioners also subscribe to a voluntary code of professional conduct which includes extensive safety and hygiene measures to minimise any risk of harm to their patients.
All of these measures are what makes acupuncture one of the safest forms of therapy practised.
For more details please see this link to the NHS website: Acupuncture – Safety and regulation – NHS Choices.