Yes, with all the EU countries, with a number of other European countries and with the USA and Japan.

Broadly speaking, employees assigned to work in Germany for a temporary period will be exempted from social security contributions, provided a previously existing employment relationship in the individual's home country remains in force. In most cases, the period of exemption lasts initially for two years but may be renewed for a further two. An employee who remains a member of the social security scheme of another EU country is automatically covered for medical treatment whilst in Germany as though he were a member of the Germany scheme; members of the schemes of other countries may not be, depending upon the terms of the relevant treaty and (sometimes) their exact class of membership.

The content of this article does not constitute legal advice and should not be relied on in that way. Specific advice should be sought about your specific circumstances.