Although not really a "space station," the crew inside the Gemini XXII spacecraft capsule (James A. Lovell, Jr., and Edwin E. "Buzz" Aldrin, Jr.) witnessed a total solar eclipse in November of 1966 (Gemini 12).
Although the pilots missed the ride to high altitude, Lunney soon found something for them to do with their spare time. The flight plan had originally called for them to photograph a solar eclipse, if it did not conflict with the rest of the mission. This task fell by the wayside when the two-day launch delay - from 9 to 11 November - meant that the eclipse would occur during their high-altitude excursion. Canceling the main engine burn inspired two of the mission planners to thoughts of reinstating the eclipse photography. Schneider and Lunney conferred with James R. Bates, Experiments Advisory Officer for Gemini XII, on the effect this might have on the rest of the experiments. Since the flight plan had to be changed anyway, Bates said, why not include the eclipse?
This conference with Bates marked a significant change in mission control operations. Formerly working out of an adjacent staff support room, the experimenters' representative was now allowed by the engineers in charge to operate as a part of the flight control team in the main control room. Although there had been an experiments console in the control room by Gemini X, it had been only occasionally manned. Bates, on Gemini XII, was the first full-time experiments officer. This experience worked out so well that the custom was continued in Apollo.
Even after the eclipse became a flight-plan casualty, planners continued to plot its path. Now there was a chance to work this experiment back into the mission. The Agena's secondary propulsion system had enough power to get the spacecraft into position for an eight-second photographic pass at the proper time. Schneider and Lunney agreed that this piece of realtime planning would give an added fillip to the mission.
"The eclipse got to us after all," Lovell remarked. "Yes, it looks like it," Conrad answered. Although the crew had wanted to do the experiment when it was first planned, these sudden preparations came at an inconvenient time. They were still working with the Agena and were scheduled to begin such activities as eating, sleeping, and working on other experiments.
Nevertheless, at 7:05 hours after launch, Jim Lovell fired the Agena's smaller engines to slow his speed 13 meters per second. Agena still had its doubters - Conrad had told them, "If It gets away from . . . take it over with the (spacecraft)." But the target vehicle performed splendidly, and the crew then bedded down for the night.
The Canary Island controller greeted the crew in the morning with the news that there would be a second maneuver - 5 meters forward - to line the vehicles up properly. The prospects panned out richly, and the crew reported seeing the eclipse "right on the money at 16:01:44 g.e.t." The path of the eclipse cut a swath across South America from north of Lima, Peru, nearly to the southernmost tip of Brazil. Although they thought for a moment, they were slightly off track, their aim had been accurate.
Interestingly, Jim Lovell's description of the event (as can be seen on disc 3 of Project Gemini: A Bold Leap Forward) coincides closely with my own recollections of totality (having witnessed same on 21 August, 2017, in Central City, Nebraska, USA). However, I'm sure it went by much more quickly for the Gemini XXII crew than it did for me...