Yes, they're interchangeable.
The components of an address are a prefix byte, a 20-byte public key hash (160 bits), and a 4-byte checksum. Litecoin testnet uses the same prefix byte as Bitcoin testnet (hex 0x6f, decimal 111) and computes the hash and checksum in the same way. This was arguably not a good decision on the part of the Litecoin developers, but we are sort of stuck with it now (maybe until testnet4).
If you have the private key for the address in your Bitcoin wallet client, it should in principle be possible to export it from there and import it into your Litecoin client (they also both use the same prefix byte for testnet private keys).