Well, it depends on the way you look at it.
Yes, we can participate as a historical commemeration, as it is where we came from. (It is most common to see Christians participating in a Seder meal as it is the basis of the Eucharistic meal.) I do not know if Jews would look too favorably upon our observing their holy traditions as a type of “historical peculiarity,” though. Understand, though, that we are not at all obligated to do so, and a habitual practice of doing so does seem contrary to the very heart of Christianity–that we are no longer under the law and are justified through the death of our saviour, Jesus Christ.
Before Jesus, the only way to be justified was by being under the law. Every transgression had to have an equal re-payment. Then Jesus came. He not only ended the law, but he surpassed it, he was the fulfillment of it.
We no longer need to participate in Jewish Holy Days because we no longer are under the law.
You will notice, if you look, the many, many similarities between Catholicism and Judaism. A thread I found most interesting on this can be found here:
#18
#44
#47
#57
That is because Catholicism is the extension of Judaism. It is the fulfillment of the Jewish faith.
There are a number of groups around today, Seventh Day Adventists and Messianic Jews most prominently among them, that say we are still under the old law and are required to observe Jewish customs. This is heretical and cuts at the very heart of the Christian message.
This article was posted elsewhere as a good source of Biblical refutations of this theological falacy.