To expand a bit on my old answer that /u/mikedash linked, Sweden was almost entirely cut off from trade with most of the world after the invasion of Denmark and Norway in April 1940 - the only way out into the Atlantic was blocked. Most Swedish merchant ships that were in foreign waters by April 1940 were never able return home until after the war had ended, and many were pressed into service by the warring powers. Travel to Germany and the Axis-occupied territories via the Baltic Sea was indeed possible, but I haven't read about anyone doing it for leisure during the war, and especially not as late as 1943 - the sources I'm most familiar with only tend to cover people who traveled for business or diplomatic purposes, and even these were far and few between.

By 1943, the only legal way out of Sweden to a country not actively participating in the war would have been by the few ships that were escorted out of Gothenburg, inspected by the Germans, stopping in the Faroes for inspection by the British, and finally out into the Atlantic bound for South America (most commonly Argentina). These were cargo ships meant to bring home desperately needed goods that were hard or impossible to produce domestically, not passenger boats. During 1943, 44 such ships left Gothenburg. Most of them made it without incident, but one ill-fated journey ended up in a minefield and on January 9, 1943, a tanker and a cargo ship outbound for Buenos Aires hit mines in the North Sea and were lost - the tanker with all hands.

To attempt to give you a better answer about passenger traffic with these boats, I went through Svenska handelsflottans krigsförluster under det andra världskriget (SOU 1963:60), which lists every single Swedish merchant ship lost during WW2. Unfortunately it doesn't list crew/passenger complements for all ships, only for those where someone actually died when the ship sank, but judging by that small sample size, passengers seem to have been exceptionally rare in the escorted traffic. I've only found one or two ships in the escort traffic during 1942 and 1943 that were mentioned as carrying passengers.

e: Out of ten ships sunk on the escort traffic route in and out of Gothenburg, these two are the only ones I've found that were mentioned as carrying passengers:

• Göteborg, steamer built 1893, 820 GRT. Left Reykjavik, Iceland on January 25, 1941 bound for Gothenburg, with a crew of 17 and three foreign (non-Swedish) passengers. Was never heard from again, presumed lost with all hands.
• Argentina, motor ship built 1935, 5300 GRT. Left Santos, Brazil with mixed cargo on June 15th, 1942 bound for Gothenburg, with a crew of 36 men, one inspecting officer from the Swedish navy and one passenger. After rounding Britain and headed south across the North Sea together with another Swedish cargo ship, both ships hit mines within minutes of each other and sank. Two crewmen were lost, but the rest were able to get in the lifeboats and made it to Norway.

To put these ten sunk ships into perspective, for the entire course of the war, a total of 79 ships made 232 outbound trips and 227 inbound trips through the blockaded North Sea. Many, many more were of course lost in the iron ore traffic on the Baltic Sea and elsewhere in the world outside of the blockade, but that's another story.

The question of travel to and from Sweden in the Second Word War has come up a couple of times before, and while you're waiting for fresh answers to your specific query, you might like to review these responses. The short version is that travel to allied countries was extremely dangerous, and in some cases possible only by lying in the bomb bays of specially converted aircraft.

Travel to Germany and German-held territories was a different matter and might have been easier, depending on one's connections and the specifics of what one wanted to see.

Travel to Sweden from England during World War II: How would a refugee secretly travel to Sweden from England in late 1942?, with u/renhanxue