אם אין לך מטרייה, אני יכולה להשאיל לך את שלי בשביל הדרך הביתה.

Hebrew has no indefinite article, so מטרייה can mean an umbrella or just umbrella, depending on context.

• מטרייה = an umbrella / umbrella
• המטרייה = the umbrella

So אם אין לך מטרייה naturally means if you don’t have an umbrella.

Hebrew usually expresses have / don’t have with יש / אין + ל־.

• יש לי = I have
  literally: there is to me
• אין לי = I don’t have
  literally: there isn’t to me

So:

• אין לך מטרייה = you don’t have an umbrella
• more literally: there is no umbrella to you

This is the normal way to talk about possession in Hebrew.

Because this is a case of non-existence / absence, not just simple verb negation.

Hebrew uses:

• לא to negate many verbs
• אין to say there is not / there are not / someone doesn’t have

So with possession in the present tense, Hebrew normally uses אין:

• אין לך מטרייה = you don’t have an umbrella

Using לא here would sound wrong.

It is built into לך.

• ל־ = to / for
• לך = to you / for you

In the possession pattern יש / אין + ל־, that ל־ phrase marks the person who has or does not have something.

So אין לך מטרייה literally means there is no umbrella to you, which English turns into you don’t have an umbrella.

Because the speaker is female.

In Hebrew, the present-tense form here agrees with the speaker’s gender:

• אני יכול = I can, said by a male speaker
• אני יכולה = I can, said by a female speaker

So this sentence is something a woman or girl would say. A male speaker would say:

אם אין לך מטרייה, אני יכול להשאיל לך את שלי בשביל הדרך הביתה.

Here it means lend.

That is an important pair in Hebrew:

• להשאיל = to lend
• לשאול = to borrow, and also to ask

So:

• אני יכולה להשאיל לך את שלי = I can lend you mine
• אפשר לשאול את המטרייה שלך? = Can I borrow your umbrella?

English speakers often mix these up at first because the Hebrew roots are related.

Because it does two different jobs.

1. אין לך מטרייה
   Here לך marks the person who does not have the umbrella.
   Literally: there is no umbrella to you

2. להשאיל לך את שלי
   Here לך means to you, the person receiving the loan.
   Literally: to lend to you mine

So both are לך, but they function differently in each part of the sentence.

Because את marks a definite direct object.

In אני יכולה להשאיל לך את שלי, the thing being lent is mine, and mine is definite. So Hebrew uses את before it.

• את is not translated
• it simply marks the direct object

Compare:

• אני רואה ספר = I see a book
• אני רואה את הספר = I see the book

Here:

• אני יכולה להשאיל לך את שלי = I can lend you mine

שלי can stand alone because the noun is already clear from context.

Since the sentence is talking about an umbrella, את שלי means:

• mine
• more fully: my umbrella

Hebrew often leaves out the repeated noun when it is obvious.

So both are possible:

• אני יכולה להשאיל לך את שלי = I can lend you mine
• אני יכולה להשאיל לך את המטרייה שלי = I can lend you my umbrella

The version with שלי alone sounds more natural and less repetitive here.

Literally, it is something like for the way home.

Breakdown:

• בשביל = for
• הדרך = the way / the journey / the trip
• הביתה = homeward / home

So the whole phrase means:

• for the way home
• for your trip home
• on the way home

It sounds natural in spoken Hebrew and adds the idea that the umbrella is being lent specifically for getting home.

That final -ה is an old directional ending, often called the directional he. It gives the sense of toward a place.

So:

• בית = house / home
• הביתה = homeward / to home / home

In modern Hebrew, הביתה is simply the normal word for homeward in sentences of motion, as in:

• אני הולך הביתה = I’m going home

So in your sentence, הדרך הביתה means the way home.

Because Hebrew often uses the present form here to express a current ability or offer:

• אני יכולה להשאיל לך את שלי = I can lend you mine

That sounds natural when you are offering something right now.

A future form such as אני אוכל / אוכל להשאיל would mean something more like:

• I will be able to lend
• I’ll be able to lend

That is a different nuance. In this sentence, the speaker is making an immediate offer, so יכולה is the natural choice.