Answer
No, the diver will not experience any increase in Buoyant Force acting on her.
Work Step by Step
Buoyant Force is given as
$$F_B = W_{\text{diver}}$$
$$F_B = M_{man}\times g$$
$$F_B = \rho\times V\times g$$
From the above equtions
Buoyant Force does not depend on the depth, it only depends on the weight of the diver.
