The answer is yes, but you need need to act carefully and effectively, so the Interior Ministry will approve the marriage.
This is not a simple process. The process requires a profound knowledge of the laws and regulations in Israel, accuracy and patient.
The procedure itself usually takes several years, in wheech the Ministry of Interior examines carefully the relationship, and the couple needs to convince the Interior Ministry office of the integrity of the relationship.
For the procedure the couple has to submit documents from Israel and the Philippines.
Some documents must be certified internationally, and some of them are edited and approved by an Israeli official (notary / court).
As part of the test, the Interior Ministry interviews the couple and performs various tests to clarify the details and verify the facts.
Proof of the relationship between an Israeli man and a Filipino woman entails difficulties of various cultures, and speaking different languages.
Sometimes there are other difficulties as age difference between the spouses, children from a previous relationship, and the like.
Because of the high sensitivity of family reunification, it is advisable to consult a lawyer who specializes in immigration law and policy and family reunification, so he can deal with the difficulties and requirements of the Ministry of Interior.
In appropriate cases, you can ask the Interior Ministry to shorten the procedure.