The study aims to estimate the possibilities of sustainable development, ensuring and achieving the sustainable development goals (SDGs) in light of challenges caused by the pandemic’s “new normal”. In this regard, the study employs bibliometric and empirical approaches. Based on the bibliometric analysis results, it is found that the main focus of sustainable development studies during the pandemic is on economic issues (particularly, innovations and strategic decision-making) while also addressing humanitarian problems such as ensuring health and well-being. To find the practical problems in ensuring sustainable development during the pandemic period, we used the case of Ukraine with appropriate empirical analysis at two levels. Therefore, we estimated the achievements of SDGs compared to planned indicators for 2020 (as the last report data available for this study). As a result, the low level of achievements is proven; particularly, only 20% of planned indicators are fulfilled with planned values. Moreover, the sociological research is conducted to reveal the subjective perceptions of the pandemic’s influence on the possibilities of achieving SDGs. The survey was conducted during the second pandemic wave in December 2020–January 2021, involving 416 respondents. The obtained results confirmed the ambiguous influence of the pandemic. On the one hand, the positive changes are typical for healthcare services and distance learning. However, the negative influence of the pandemic’s “new normal” on SDGs is confirmed by respondents through their concerns about the effects of the pandemic on the development of investments and agricultural technologies as well as the progress in goals, such as “Industry, Innovation, and Infrastructure” and “Sustainable Cities and Communities”.