駅からは歩いて十分ぐらいです。
It takes 10 minutes on foot from the station.
The confusing part is the 歩いて.
Is あるいて a noun? What is its role?
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Sign up to join this community歩いて is the te-form of the verb 歩く, and means "on foot". Of course the te-form usually connects to another verb, but the te-form of some words (seem to) have idiomatic usage which can be used on its own. (As a native speaker I haven't learned Japanese grammar systematically, so I may be wrong...)
In the case of 歩いて, I think you can also think 行くと or 行けば is omitted after 歩いて (i.e., 歩いて行くと10分です).
駅からは歩いて十分ぐらいです.
[駅]{えき}から This part means "coming from the station"
[歩]{ある}いて this part means "on foot" or "by walking"
The root verb here is 歩く(あるく :to walk) which is then conjugated to the te-form which is the form used to describe how an activity is done.
[十分]{じゅっぷん}ぐらいです means "around 10 minutes"
So the whole statement actually means "From the station, if you walk, it is around 10 minutes."
Is あるいて a noun?
歩いて == on foot,
--- like "caminando" (in Spanish)
caminar「歩く、歩いて行く」 現在分詞 caminando
I think 歩いて is like 現在分詞 ( "walking" in English ), and it could be an adj. or adverb. ( --> Actually "歩いての" is the adj. form. )
I'm surprised to learn that the large section on the [te-form] in this entry https://en.wikipedia.org/w/index.php?title=Japanese_verb_conjugation&oldid=734597386 does not mention the use in question (駅からは歩いて十分ぐらいです。)
The following page is good.
http://www.obtjls.com/extra.html . . . For some verbs that represent an ongoing process, the ~te iru form indicates a continuous or progressive tense as a present participle (a verb form by adding the suffix -ing that functions as an adjectival).
起きて半畳、 寝て一畳。 天下取っても二合半。
歩いて10分、 走って7分。 タクシー乗っても6分半。
[PDF] 日本語の「て形」についての研究ノート1: 「て形」は「現在分詞」と言えるのか
高野寿子 著
(5) a. 公園でポピーに会って, ヒューはとても喜んだ。
b. [Bumping into] Poppy in the park, [Hugh] was very pleased.
(6) a. 今日は土曜日で, ヒューは学校がある。
b. Today being Saturday, [Hugh] has school.
(7) a. 正直に言って, クーは太りすぎだ。
b. Honestly speaking, Koo is overweight.