Is it a problem if I have only completed the first year of my graduation for applying abroad for a Master's/Bachelor's?

Yes, it is a problem if you have completed only the first year of your graduation and want to apply for a master's program abroad.

Most universities require a completed bachelor's degree or, in some cases, significant progress towards it (such as final-year status or a minimum number of credits). Completing just the first year does not meet these requirements. You will need to finish your undergraduate degree or reach the credit threshold set by the university before you can apply for a master's program.