If my tibc levels are higher than normal and my ferritin is fine, could I be anaemic?

Absolutely. There are hundreds of causes of anemia that have nothing to do with iron. Confusion is generated by a "pop" misuse of the word "iron" for total hemoglobin (which is by definition low in anemia).
Anemia. These values have to be assessed in the context of other tests and a history & physical. Anemia is more importantly diagnosed by the values of your hemoglobin and hematocrit . Some anemias are also diagnosed by the red blood cell size, the mcv, B12 and folate (folic acid) deficiencies cause large cells, iron deficiency causing small cells. If both occur the MCV may not reveal much. See your md for discussion.