Is there a way to convert a pic program to work on arduino?
Probably, if you have the source code, and if the program is written C (not the PIC assembly language).
But, all of the I/O is going to be different, the timing/delay will probably be different, and I'd guess that you'll have to modify about half of the lines in the code. So, it won't be much easier than starting-over.
You might be able to get some hints & clues from the old software, but it's often easier to write and debug your own code rather than trying to make someone elses code work on a different system.
Are there any programs similar to the one I would like to create?
I'm not sure what kind of patterns/sequencing you are doing or how many LEDs/channels that you can address. But, take a look at Blinkenlight Experiments
. That should get you started.