Yes, it is certainly possible to calculate the electronic structure of compounds containing lone pairs.

Even though i do not know which program you are using, i would imagine that the error you posted is caused by some faulty input, rather than the inability of the program to calculate compounds with lone pairs.

the program is hyperchem i need run in DFT or ab initio

the molecule present a atom with lone pair.

I haven't used HyperChem. But.. The error message clearly states that your calculation commands are not applicable if there's a ghost atom. So you should check the manual and literature. Second, as Oleg Gadzhiev mentioned, you don't need to use ghost atoms to calculate molecules with lone pairs.

There are no restrictions for consideration of molecules with lone pairs in any quantum chemical software (Gaussian, Firefly, HyperChem, et al.). I agree with Dr. Jan Unsleber, the error is caused by some faulty input. Proceeding successfully further with ab initio or DFT computations, note please that for taking into account the repulsion between lone pairs, it is desirable to involve the diffuse functions (+) in the basis set, e.g., 6-311++G(d,p).

i try with diffuse function in the lone pair and this this was the message of the program: basis file 6-31+G*

does not contain any definitons for element with atomic number 0".

Such a program response is not connected with application or disregarding the diffuse functions. Probably, as other Colleagues wrote, it is due to a ghost atom use. And you need not introduce such an atom in order to consider lone pairs. Furthermore, ab initio and DFT computations with the aforesaid basis set and more extended ones by means of HyperChem would proceed very slow. It would be better to use Gaussian or Firefly.

Perhaps pasting a portion of the input file with atoms listed would be helpful. I'm not familiar with Hyperchem, but some programs require pretty stringent input formats, and it could be as simple as the atomic number is not in the right column. Lone pairs in of themselves arise naturally from any ab initio where they would be expected...but they won't look like the rabbit ears learned in general chemistry!

Just specify your atoms - whatever program you are using - the program will know how many electrons there are and will create appropriate molecular orbital for each pair by linear combinations of the atomic basis functions that you select. "Lone pairs" are an artifact of classic Lewis dot structures and are not distinguishable in your input from any other electrons. In fact, your input says "put nuclei in certain positions, place basis functions centered on the nuclei, then please calculate where the electrons should be placed to give the lowest electronic energy."

the problem is specifically the following: I want to do calculations to level DFT and ab initio lead complexes (II), but I need to add a free pair to lead to avoid the program add automatically hydrogen to complete the valencia (using Hyperchem Build mode).

Just delete the hydrogen - or choose a different valence shape - or build it first with a different central atom then change it to Pb - I don't use hyperchem, but read the help manuals, ask your professor or mentor or another student or researcher - but you be smarter than the program is! There is no need to "specify" the lone pair!