Yes, but according to the rules, you need to get a visa in the country where you will stay the longest. If all countries are visited for an equal amount of time, a visa is issued to the country of first entry. For frequent trips around Europe, it is most convenient to apply for a multivisa, which allows you to enter the country repeatedly. If you are planning a short trip, it will be enough to apply for a tourist type of visa.
If your visa is marked with another country, you will need to explain to the consulate the next time that you used these countries only for entry or transit (for example, because of cheap tickets), and spent most of your time in the country that issued the visa. Since there are no border markers inside the Schengen area, it is impossible to verify this, but it is better to back up your explanation with evidence — tickets, reservations, or receipts. We will help you prepare your cover letter.
Please note that some countries, such as Germany, have strict customs controls, and entering there with a visa issued by another Schengen country may raise questions and even lead to deportation. Therefore, we do not recommend flying directly to such countries with a visa issued not through their consulate.