It absolutely could be a problem. Stand back and get ready for my watering rant.
The first thing to realize is, the plants roots are (or should be, since you used a spoon to transplant) larger than the part of the plant you see above ground. The first order of business for the plant is to grow roots. It will send them straight down until it hits an obstacle, then start working them outward. That's why we start in small pots. It lets the plant build roots both down and out quickly.
Normally I do not worry if the top of the soil is dry. The plant would rather be a little dry than a little wet and it has roots way down to the perched water table in the bottom of the container. In your case, the roots are not there yet since it was just moved. The key to building roots and not water logging them is to completely drench the pot. Soak it until you can't get it to hold another drop. This takes time when watering only from the top. I also submerge the pot in a slightly larger container so it can soak for several minutes. This also helps limit the soil compaction found in top watering.
After the pot is thoroughly watered let it drain. Tip it to help it drain more and lower that PWT. No comes the hard part: LEAVE IT ALONE. A seedling jut move to a 1 gallon (4 liter) pot should not need another drink for at least one week, and probably more like two weeks. Compare its weight to the same size pot with just dry soil. It will get light - lighter than you think it should be. Watch the plant. It will tell you when it is thirsty. Once it just begins ti wilt, repeat the above procedure. It will respond in minutes.