The 6ft 10in keeper is a product FC Copenhagen academy, and has played in England for Accrington Stanley and Whitehawk.
Bloch had three seasons with Danish club Frem, and also played for Copenhagen clubs B93 and B1908, making a total of 68 appearances in the Danish League.
He then played for Bronshoj, the Danish second division side, before moving to the UK in 2017 where he signed for Accrington.
He played once for Stanley in the EFL Cup, signing for Whitehawk and playing four times.
The 26-year-old has impressed in Dulwich training in recent weeks, with the move made possible by the club’s 12th Man scheme.