A cynic might note that there are no higher elective offices open for a governor of Virginia at this time. In that context, it is this column's duty to report that Gov. Charles S. Robb told reporters yesterday that he does not intend to seek any other office "at this time."

His comment came at a regularly scheduled news conference in Richmond, at which Robb -- the son-in-law of the late president Lyndon B. Johnson -- was questioned about speculation that he is using the governorship as a spring-board to national office, possibly the vice presidency in 1984 or beyond.

"I have no intention of seeking any other office at this time," United Press International quoted him as replying.

But what of his recent campaign swings to seven states ranging from South Carolina to his native Arizona?

Noting plans for a similar trip to Iowa, Robb responded: "I have no hidden agenda. I am attempting to respond to a number of invitations, specifically those for Democratic gubernatorial candidates. I am trying to fulfill my commitment to the party."

Robb said the political forays have given him an opportunity to relate "the Virginia story" -- the Democrats' (and his) defeat of the Republicans last year, one of the few bright spots for the party lately. And he said he could not stop press speculation that he wanted to heighten his own national profile.