Learn English – ” Give somebody something”. Is , “Give to somebody something”, possible

As a rule of thumb, if a verb allows an object infinitive complement without to,
then it's very likely to be a short verb of Germanic origin.
(Basically, these are the ones that have been around for long enough to get their edges worn off)

E.g, let, make, have, go, come, see, hear, watch

A verb like allow, which comes from French, is excluded,
even though it means the same thing as let.
So allow requires the infinitive complementizer to
with an infinitive complement, while let does not even allow it.

• He allowed me to inspect the seal.
• *He allowed me inspect the seal.
  but
• *He let me to inspect the seal.
• He let me inspect the seal.
  

*An asterisk * before an example sentence indicates that the sentence is ungrammatical.

The sentence "I do not like for him to waken me," is indeed rather uncommon, but it is perfectly possible, especially in American English.

According to Swan's Practical English Usage, 291 infinitives (13): for ... to ...

291.7 after verbs: ask for ... to ...
For-structures are not normally used as objects after verbs.
[...]
However, verbs which are normally followed by for (e.g. ask, hope, wait, look, pay, arrange) can often be used with for + object + infinitive.
[...]
A few other verbs can be used like this, e.g. suit and take (time).
[...]
In informal American English, like, hate, mean, intend and some other verbs with similar meanings can be used with a for-structure. This is not usually possible in British English.
I would like for you to stay as long as you want.
She hates for people to feel sad.
Did you mean for John to mail those letters?