So many years since I played the campaign on Call of Duty: Black Ops but I do remember vaguely having problems with the same mission. It is possible to get past though of course, evidenced by the fact that me and millions of others of players have completed the campaign.
I do remember having issues with that mission, in addition to the mission where you break out of prison with Soap (I think it's soap) and end up in a sort of control room and loads of guards with riot shields come at you attacking you. Because I play on veteran difficulty I remember having a lot of problems with that mission too and it took me several days to get past it.