The distribution of distances between different pairs of units in a two-dimensional linear flexible polymer chain with net repulsive interactions between units (i.e., in the excluded-volume regime) is investigated through an off-lattice Monte Carlo method. Three different cases, according to the position of the pair components (end or interior units), are studied. The results are in excellent agreement with theoretical predictions generated by Coulomb gas techniques and conformal invariance methods. Some of these results, however, differ clearly from the values obtained in previous simulations or from those predicted by epsilon expansion formulas based on the renormalization group theory.