No. The CRC is different because it's a Famicom Disk System disk. Let me explain...
FDS disks have a header which, unlike NES cartridges, is present on the original disk and has some useful information. One thing it includes is the date the disk was written to, because they're not produced like ROM chips. Therefore, you could have two disks which are identical yet one was produced on Wednesday and the other on Thursday, and they'll have different CRCs.
Second is that most games took advantage of the save functionality of the disks, which means that when disks were ripped to .fds files, the save data was intact. Indeed, unless you can find a factory-sealed FDS game and dump it (good luck) it's almost impossible to know with 100% certainty what the "original" save data looked like. So, again, two identical disks which have a different name for a save file will produce different results.
For those two reasons, I would recommend you disregard the CRC of FDS disks. Having translated FDS games myself, I can say that No-Intro isn't necessarily the best dump - there is NOTHING official about it. If you patch it and it works, it works. No need to get anal about CRCs.