完全可以。因为 since 除可以用作连词还可以用作介词。
He has been feeling a dull pain in his chest since he was brought there.——用作连词
=He has been feeling a dull pain in his chest since being brought there.——用作介词
自从他被带到那里以来,他一直感到胸口隐隐作痛。
又如下面一句(摘自《夸克英语语法》):
The wall has been like this since being damaged by a bomb. 自从被炸毁之后这堵墙就一直是这个样子。