Yes, one can give exam 3 times in year starting from your application approval.
In general, its better to check the detailed task level report you receive from PMI showing which specific task performance was not at par, that gives one good insights to fix the issues.
Once your PMP Exam application is approved, you are given one year (your eligibility period), and three attempts to pass (during this year). In case you fail all of these three attempts, you need to wait one year before filing another application to try again, but you can apply for other PMI credentials. Saving Changes...