Yes it is.
"Tiger" is a two-syllable word that starts with a T.
The second syllable.
t
A final consonant syllable is a syllable that ends with a consonant sound. For example, in the word "cat," the final syllable is "at" and it ends with the consonant sound /t/.
In the word "captain," the sound "t" is located in the first syllable. The word "captain" is divided into two syllables, with the first syllable being "cap" and the second syllable being "tain." The "t" sound is part of the initial consonant cluster in the first syllable.
/T/
C w t s
The first syllable of "photo" is stressed and the second syllable is unstressed. The lack of stress on the second syllable has the consequence that the "t" fails to be aspirated and in American English is pronounced as a flap. You can contrast this with the word "Plato", which has some low level stress on the second syllable, causing the "t" to be aspirated and preventing it from becoming a flap.
Sometimes, but only when the word would not be pronounceable without the extra syllable. After t or d, in English you can't have an immediately following t or d, so a vowel has to be inserted before the "-d" ending, and this new vowel produces an extra syllable.
In the word "disturb," the syllable division occurs between the "s" and the "t," making it dis-turb. This division follows the phonetic rule that a consonant between two vowels typically belongs to the following syllable. Therefore, the "s" is part of the first syllable "dis," and the "t" begins the second syllable "turb."
tra
The above in phonetic notation (using - for syllable division) is [mə-stɪɹ-i-əs]. There is another possibility, which is [mɪs-tʰɪɹ-i-əs], with [s] at the end of the first syllable causing the first vowel to be slightly different, and with t now at the beginning of its syllable aspirated (with a puff of air after it), since t must always be aspirated at the beginning of a syllable in English.