Merhaba,

I got the sentence:

yardımım dokunabilir,seviyeni bilmiyorum ama.

as a part of a message.

What is the meaning of "dokunmak" in that phrase?

I´ve always known it only as "to touch",

but here- "my help can touch".. that doesn´t sound well

yardım edebilirim: i can help you.

yardımcı olabilirim: i can help you. / i can be a helper for you.

yardımım dokunabilir: i can help you. / my help can reach (and touch) you.

the politeness order is: regular, polite, even more polite.

In addition to ´touch´ dokunmak also has the abstract meaning ´to have an effect on´. Also

                    Bana zararı dokunmaz ´He cannot harm me.´

                    Sinirime dokunuyor ´He is getting to my nerves.´

The dictionary also gives namusuna dokunmak ´dishonor´, kanına dokunmak ´make one´s blood boil´, dibe dokunmak ´to fall to the lowest point´.

Nevertheless, the syntactic structure does not change: what effects is the subject, what is effected is the indirect object, just like in the case of ´touch´.

 Yemek mideme dokundu is another example of this (usually negative) effect. It´s like "the food made me feel sick", rather than "the food touched my stomach".

But this is all an aside ("a red herring"), ikicihan has given the right explanation for this example.