No, there is no such thing as bipolar disorder without the presence of hypomania or mania.
Bipolar disorder used to be called manic-depressive disorder, which means hypo/mania and depression must exist. Otherwise, it's unipolar depression.
Also, see:
1.3.1.1 Criteria for a Manic/Hypomanic Episodes
Quote:
A. A distinct period of abnormally and persistently elevated, expansive, or irritable mood, lasting at least one week (or any duration if hospitalisation is necessary)
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Your last criteria listed says you don't have an elevated or expansive mood. Are you irritable?
You technically only need to meet 3 of the 7 criteria listed in part B, but personally, it doesn't sound like bipolar disorder to me. However, I'm not a doctor. I think you need to consult a mental health professional if you're concerned.