"Minor detail issues when burning a screen" question.

From your description, no. Why not just reprint the film and burn another?
I think my question would be "What's up with the film?", and figure out what went wrong there.
Trying to "fix" a stencil emulsion exposed right is kinda a ain't gonna work" and give you a perfect screen situation.
Did you have the film move during exposure?
Was the ink dye ink and black enough?
Did the artwork have a little mess up in it?
Was the film in firm contact with the mesh?

Just some areas to peruse in the quest for a perfect screen

kurpis said:

There are a few skinny lines where some light went through the film positive. Are there any easy ways to take some of these stray cured emulsion lines off?

Click to expand...

If this is a consistent problem, you should diagnose the cause(s) and work on getting a consistently dense ink layer on your film.

An absolute yes or no can't be given.

If it's just one screen you're not wanting to have to redo, "easy" is relative and depends on how much you want to bother.
I've had call to use a pin or needle to poke out smaller areas or thin lines of unwashed emulsion. I've also had times when reburning the screen and correcting the cause was more feasible both time and quality wise.

For you to determine.

If your brave... you can take a small paint brush and dabb a little emulsion remover on it and wait a few min and try yo dabb it out with a wet rag..
If you get it takes off to much, I go to my plotter and cut the area around the spot and put it on the back side of the screen... Good Luck..