Yes, hotels, pensions, holiday apartments and campsites welcome all guests who are travelling privately. The 3G rule applies here as well, which means fully vaccinated, recovered or tested. Each overnight guest must present a negative test on arrival (not older than 48 hours for a PCR test / 24 hours for an antigen rapid test). The deadline runs from the first test at home and not from the arrival in Travemünde. The presentation of a negative test is additionally required two times per week during your stay. Additional tests after arrival will not be necessary. Children up to the age of 7 and pupils, who are regularly tested at school, are exempted. From 4th to 17th October 2021 due to the fall holidays pupils will have to present a negative test not older than 72 hours.
Alternatively, as an overnight guest, you can provide evidence that you have recovered (for at least 28 days and maximum 6 months ago) or have been fully vaccinated at least 14 days ago. Please note: If you are 16 or older you must present your photo ID to prove that the negative test certificate is yours. For further information on the proof of recovery / tested / vaccinated click here.
Please check with the Federal Ministry of the Interior, Building and Community (BMI) prior to your trip to find out which regulations apply specifically with regard to the country from which you plan to enter Germany.
Further info is available on the website of the Foreign Ministry.