The overall answer to your question is no. Now, some explanation.
Your statement of the equivalence point and C6H6's are both incorrect.
The equivalence point is reacted when stoichiometric amounts of the acid and base have reacted. In your answer, you spoke of volumes. The volumes used may vary. C6H6 spoke of one mole and one mole. This is not correct because you can can certaily have less than (or more than) one mole reacting.
Also, C6H6 is incorrect, in that the stoichiometric ratio between HCl and Ba(OH)2 reacting is two moles of HCl are needed to exactly neutralize one mole of Ba(OH)2.
An equivalence point of 7 is reacted only when a strong acid (HCl) reacts with a strong base (NaOH).
There are three other cases:
1) strong acid - weak base
2) weak acid - strong base (the most popular one in problems)
3) weak acid - weak base
In the first one, the pH of the equivalence point will be acidic (below 7). In the second, the pH at the equivalence point will be basic (above 7). In the third case, the Ka and Kb must be known and the equivalence point pH is determined by which one is stronger (or weaker). The third case is not usually addressed in introductory classes.
The pH of the equivalence point in cases 1 and 2 just above are created by the hydrolysis of the salt of the titration products.
If acetic acid and NaOH are titrated, sodium acetate is formed. In solution, the acetate ion does this:
CH3COO^- + H2O ---> CH3COOH + OH^-
The acetate ion, by its presence in solution, upsets the amount of hydroxide in pure water, causing it to increase, thereby creating a basic pH value at the equivalence point.
If ammonia and HCl are titrated, this happens:
NH4^+ + H2O ---> NH3 + H3O^+
HTH